المؤلفون: Rehren, K. -H., Cardoso, L. T., Gass, C., Gracia-Bondía, J. M., Schroer, B., Várilly, J. C.

مصطلحات موضوعية: High Energy Physics - Theory, 81-02, 81T15

الوصف: Successful applications of a conceptually novel setup of Quantum Field Theory, that accounts for all subtheories of the Standard Model (QED, Electroweak Interaction and Higgs, Yang-Mills and QCD) and beyond (Helicity 2), call for a perspective view in a broader conceptual context. The setting is "autonomous" in the sense of being intrinsically quantum. Its principles are: Hilbert space, Poincar\'e symmetry and causality. Its free quantum fields are obtained from Wigner's unitary representations of the Poincar\'e group, with only physical and observable degrees of freedom. A "quantization" of an "underlying" classical theory is not needed. It allows renormalizable perturbation theory with interactions whose detailed structure, and in some cases even the particle content, is predicted by internal consistency. The results confirm and extend observable predictions for the interactions of the SM without assuming a "principle" of gauge invariance.
Comment: 21 pages

الوصول الحر: http://arxiv.org/abs/2405.09366Test

المؤلفون: Addazi, A., Alvarez-Muniz, J., Batista, R. Alves, Amelino-Camelia, G., Antonelli, V., Arzano, M., Asorey, M., Atteia, J. -L., Bahamonde, S., Bajardi, F., Ballesteros, A., Baret, B., Barreiros, D. M., Basilakos, S., Benisty, D., Birnholtz, O., Blanco-Pillado, J. J., Blas, D., Bolmont, J., Boncioli, D., Bosso, P., Calcagni, G., Capozziello, S., Carmona, J. M., Cerci, S., Chernyakova, M., Clesse, S., Coelho, J. A. B., Colak, S. M., Cortes, J. L., Das, S., D'Esposito, V., Demirci, M., Di Luca, M. G., di Matteo, A., Dimitrijevic, D., Djordjevic, G., Prester, D. Dominis, Eichhorn, A., Ellis, J., Escamilla-Rivera, C., Fabiano, G., Franchino-Viñas, S. A., Frassino, A. M., Frattulillo, D., Funk, S., Fuster, A., Gamboa, J., Gent, A., Gergely, L. Á., Giammarchi, M., Giesel, K., Glicenstein, J. -F., Gracia-Bondía, J., Gubitosi, G., Guendelman, E. I., Gutierrez-Sagredo, I., Haegel, L., Heefer, S., Held, A., Herranz, F. J., Hinderer, T., Illana, J. I., Ioannisian, A., Jetzer, P., Joaquim, F. R., Kampert, K. -H., Uysal, A. Karasu, Katori, T., Kazarian, N., Kerszberg, D., Kowalski-Glikman, J., Kuroyanagi, S., Lämmerzahl, C., Said, J. Levi, Liberati, S., Lim, E., Lobo, I. P., López-Moya, M., Luciano, G. G., Manganaro, M., Marcianò, A., Martín-Moruno, P., Martinez, Manel, Martinez, Mario, Martínez-Huerta, H., Martínez-Miravé, P., Masip, M., Mattingly, D., Mavromatos, N., Mazumdar, A., Méndez, F., Mercati, F., Micanovic, S., Mielczarek, J., Miller, A. L., Milosevic, M., Minic, D., Miramonti, L., Mitsou, V. A., Moniz, P., Mukherjee, S., Nardini, G., Navas, S., Niechciol, M., Nielsen, A. B., Obers, N. A., Oikonomou, F., Oriti, D., Paganini, C. F., Palomares-Ruiz, S., Pasechnik, R., Heros, C. Pérez de los, Pfeifer, C., Pieroni, M. P., Piran, T., Platania, A., Rastgoo, S., Relancio, J. J., Reyes, M. A., Ricciardone, A., Risse, M., Frias, M. D. Rodriguez, Rosati, G., Rubiera-Garcia, D., Sahlmann, H., Sakellariadou, M., Salamida, F., Saridakis, E. N., Satunin, P., Schiffer, M., Schüssler, F., Sigl, G., Sitarek, J., Peracaula, J. Solà, Sopuerta, C. F., Sotiriou, T. P., Spurio, M., Staicova, D., Stergioulas, N., Stoica, S., Strišković, J., Stuttard, T., Cerci, D. Sunar, Tavakoli, Y., Ternes, C. A., Terzić, T., Thiemann, T., Tinyakov, P., Torri, M. D. C., Tórtola, M., Trimarelli, C., Trześniewski, T., Tureanu, A., Urban, F. R., Vagenas, E. C., Vernieri, D., Vitagliano, V., Wallet, J. -C., Zornoza, J. D.

المصدر: Progress in Particle and Nuclear Physics, Volume 125, July 2022, 103948

مصطلحات موضوعية: High Energy Physics - Phenomenology, Astrophysics - High Energy Astrophysical Phenomena, General Relativity and Quantum Cosmology, High Energy Physics - Theory

الوصف: The exploration of the universe has recently entered a new era thanks to the multi-messenger paradigm, characterized by a continuous increase in the quantity and quality of experimental data that is obtained by the detection of the various cosmic messengers (photons, neutrinos, cosmic rays and gravitational waves) from numerous origins. They give us information about their sources in the universe and the properties of the intergalactic medium. Moreover, multi-messenger astronomy opens up the possibility to search for phenomenological signatures of quantum gravity. On the one hand, the most energetic events allow us to test our physical theories at energy regimes which are not directly accessible in accelerators; on the other hand, tiny effects in the propagation of very high energy particles could be amplified by cosmological distances. After decades of merely theoretical investigations, the possibility of obtaining phenomenological indications of Planck-scale effects is a revolutionary step in the quest for a quantum theory of gravity, but it requires cooperation between different communities of physicists (both theoretical and experimental). This review is aimed at promoting this cooperation by giving a state-of-the art account of the interdisciplinary expertise that is needed in the effective search of quantum gravity footprints in the production, propagation and detection of cosmic messengers.
Comment: This review was written by participants of the COST Action CA18108. Further information on the review can be found at https://qg-mm.unizar.es/reviewTest/, updated to published version

الوصول الحر: http://arxiv.org/abs/2111.05659Test

المؤلفون: Gracia-Bondia, J. M., Lizzi, F., Varilly, J. C., Vitale, P.

المصدر: J. Phys. A: Math. Theor. 51 (2018) 255203

مصطلحات موضوعية: High Energy Physics - Theory, Mathematical Physics

الوصف: We discuss the Kirillov method for massless Wigner particles, usually (mis)named "continuous spin" or "infinite spin" particles. These appear in Wigner's classification of the unitary representations of the Poincar\'e group, labelled by elements of the enveloping algebra of the Poincar\'e Lie algebra. Now, the coadjoint orbit procedure introduced by Kirillov is a prelude to quantization. Here we exhibit for those particles the classical Casimir functions on phase space, in parallel to quantum representation theory. A good set of position coordinates are identified on the coadjoint orbits of the Wigner particles; the stabilizer subgroups and the symplectic structures of these orbits are also described.
Comment: 19 pages; v2: updated to coincide with published version

الوصول الحر: http://arxiv.org/abs/1711.09608Test

المؤلفون: Addazi, A., Alvarez-Muniz, J., Alves Batista, R., Amelino-Camelia, G., Antonelli, V, Arzano, M., Asorey, M., Atteia, J-L, Bahamonde, S., Bajardi, F., Ballesteros, A., Baret, B., Barreiros, D. M., Basilakos, S., Benisty, D., Birnholtz, O., Blanco-Pillado, J. J., Blas, D., Bolmont, J., Boncioli, D., Bosso, P., Calcagni, G., Capozziello, S., Carmona, J. M., Cerci, S., Chernyakova, M., Clesse, S., Coelho, J. A. B., Colak, S. M., Cortes, J. L., Das, S., D'Esposito, V, Demirci, M., Di Luca, M. G., di Matteo, A., Dimitrijevic, D., Djordjevic, G., Prester, D. Dominis, Eichhorn, A., Ellis, J., Escamilla-Rivera, C., Fabiano, G., Franchino-Vinas, S. A., Frassino, A. M., Frattulillo, D., Funk, S., Fuster, A., Gamboa, J., Gent, A., Gergely, L. A., Giammarchi, M., Giesel, K., Glicenstein, J-F, Gracia-Bondia, J., Gracia-Ruiz, R., Gubitosi, G., Guendelman, E. , I, Gutierrez-Sagredo, I, Haegel, L., Heefer, S., Held, A., Herranz, F. J., Hinderer, T., Illana, J. I., Ioannisian, A., Jetzer, P., Joaquim, F. R., Kampert, K-H, Uysal, A. Karasu, Katori, T., Kazarian, N., Kerszberg, D., Kowalski-Glikman, J., Kuroyanagi, S., Lammerzahl, C., Said, J. Levi, Liberati, S., Lim, E., Lobo, I. P., Lopez-Moya, M., Luciano, G. G., Manganaro, M., Marciano, A., Martin-Moruno, P., Martinez, Manel, Martinez, Mario, Martinez-Huerta, H., Martinez-Mirave, P., Masip, M., Mattingly, D., Mavromatos, N., Mazumdar, A., Mendez, F., Mercati, F., Micanovic, S., Mielczarek, J., Miller, A. L., Milosevic, M., Minic, D., Miramonti, L., Mitsou, V. A., Moniz, P., Mukherjee, S., Nardini, G., Navas, S., Niechciol, M., Nielsen, A. B., Obers, N. A., Oikonomou, F., Oriti, D., Paganini, C. F., Palomares-Ruiz, S., Pasechnik, R., Pasic, V, Pérez de los Heros, Carlos, Pfeifer, C., Pieroni, M., Piran, T., Platania, A., Rastgoo, S., Relancio, J. J., Reyes, M. A., Ricciardone, A., Risse, M., Rodriguez Frias, M. D., Rosati, G., Rubiera-Garcia, D., Sahlmann, H., Sakellariadou, M., Salamida, F., Saridakis, E. N., Satunin, P., Schiffer, M., Schussler, F., Sigl, G., Sitarek, J., Sola Peracaula, J., Sopuerta, C. F., Sotiriou, T. P., Spurio, M., Staicova, D., Stergioulas, N., Stoica, S., Striskovic, J., Stuttard, T., Cerci, D. Sunar, Tavakoli, Y., Ternes, C. A., Terzic, T., Thiemann, T., Tinyakov, P., Torri, M. D. C., Tortola, M., Trimarelli, C., Trzesniewski, T., Tureanu, A., Urban, F. R., Vagenas, E. C., Vernieri, D., Vitagliano, V., Wallet, J-C, Zornoza, J. D.

المصدر: Progress in Particle and Nuclear Physics. 125

مصطلحات موضوعية: Lorentz invariance violation and deformation, Gamma-ray astronomy, Cosmic neutrinos, Ultra-high-energy cosmic rays, Gravitational waves

الوصف: The exploration of the universe has recently entered a new era thanks to the multi-messenger paradigm, characterized by a continuous increase in the quantity and quality of experimental data that is obtained by the detection of the various cosmic messengers (photons, neutrinos, cosmic rays and gravitational waves) from numerous origins. They give us information about their sources in the universe and the properties of the intergalactic medium. Moreover, multi-messenger astronomy opens up the possibility to search for phenomenological signatures of quantum gravity. On the one hand, the most energetic events allow us to test our physical theories at energy regimes which are not directly accessible in accelerators; on the other hand, tiny effects in the propagation of very high energy particles could be amplified by cosmological distances. After decades of merely theoretical investigations, the possibility of obtaining phenomenological indications of Planck-scale effects is a revolutionary step in the quest for a quantum theory of gravity, but it requires cooperation between different communities of physicists (both theoretical and experimental). This review, prepared within the COST Action CA18108 "Quantum gravity phenomenology in the multi-messenger approach", is aimed at promoting this cooperation by giving a state-of-the art account of the interdisciplinary expertise that is needed in the effective search of quantum gravity footprints in the production, propagation and detection of cosmic messengers.

وصف الملف: electronic

الوصول الحر: https://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-482093Test
https://doi.org/10.1016Test/j.ppnp.2022.103948
https://uu.diva-portal.org/smash/get/diva2:1689947/FULLTEXT01.pdfTest

المؤلفون: Carinena, J. F., Gracia-Bondia, J. M., Lizzi, Fedele, Marmo, Giuseppe, Vitale, Patrizia

مصطلحات موضوعية: Mathematical Physics, High Energy Physics - Theory

الوصف: We describe a programme to quantize a particle in the field of a (three dimensional) magnetic monopole using a Weyl system. We propose using the mapping of position and momenta as operators on a quaternionic Hilbert module following the work of Emch and Jadczyk.
Comment: Contribution to the volume: Mathematical Physics and Field Theory, Julio Abad, In Memoriam}, M. Asorey, J.V. Garcia Esteve, M.F. Ranada and J. Sesma Editors, Prensas Universitaria de Zaragoza, (2009)

الوصول الحر: http://arxiv.org/abs/0912.2188Test

المؤلفون: Carinena, J. F., Gracia-Bondia, J. M., Lizzi, Fedele, Marmo, Giuseppe, Vitale, Patrizia

المصدر: Phys.Lett.A374:3614-3618,2010

مصطلحات موضوعية: Mathematical Physics, High Energy Physics - Theory

الوصف: We present a deformed star-product for a particle in the presence of a magnetic monopole. The product is obtained within a self-dual quantization-dequantization scheme, with the correspondence between classical observables and operators defined with the help of a quaternionic Hilbert space, following work by Emch and Jadczyk. The resulting product is well defined for a large class of complex functions and reproduces (at first order in hbar) the Poisson structure of the particle in the monopole field. The product is associative only for quantized monopole charges, thus incorporating Dirac's quantization requirement.

الوصول الحر: http://arxiv.org/abs/0912.2197Test

المؤلفون: Carinena, J. F., Ebrahimi-Fard, K., Figueroa, H., Gracia-Bondia, J. M.

المصدر: Int.J.Geom.Meth.Mod.Phys.4:577-646,2007

مصطلحات موضوعية: Mathematics - Classical Analysis and ODEs, High Energy Physics - Theory, Mathematical Physics, 16W25, 16W30, 37B55, 37C10

الوصف: The theory of exact and of approximate solutions for non-autonomous linear differential equations forms a wide field with strong ties to physics and applied problems. This paper is meant as a stepping stone for an exploration of this long-established theme, through the tinted glasses of a (Hopf and Rota-Baxter) algebraic point of view. By reviewing, reformulating and strengthening known results, we give evidence for the claim that the use of Hopf algebra allows for a refined analysis of differential equations. We revisit the renowned Campbell-Baker-Hausdorff-Dynkin formula by the modern approach involving Lie idempotents. Approximate solutions to differential equations involve, on the one hand, series of iterated integrals solving the corresponding integral equations; on the other hand, exponential solutions. Equating those solutions yields identities among products of iterated Riemann integrals. Now, the Riemann integral satisfies the integration-by-parts rule with the Leibniz rule for derivations as its partner; and skewderivations generalize derivations. Thus we seek an algebraic theory of integration, with the Rota-Baxter relation replacing the classical rule. The methods to deal with noncommutativity are especially highlighted. We find new identities, allowing for an extensive embedding of Dyson-Chen series of time- or path-ordered products (of generalized integration operators); of the corresponding Magnus expansion; and of their relations, into the unified algebraic setting of Rota-Baxter maps and their inverse skewderivations. This picture clarifies the approximate solutions to generalized integral equations corresponding to non-autonomous linear (skew)differential equations.
Comment: International Journal of Geometric Methods in Modern Physics, in press

الوصول الحر: http://arxiv.org/abs/math/0701010Test

المؤلفون: Ebrahimi-Fard, K., Gracia-Bondia, J. M., Patras, F.

المصدر: Commun.Math.Phys.276:519-549,2007

مصطلحات موضوعية: High Energy Physics - Theory, Mathematical Physics, Mathematics - Combinatorics

الوصف: Motivated by recent work of Connes and Marcolli, based on the Connes-Kreimer approach to renormalization, we augment the latter by a combinatorial, Lie algebraic point of view. Our results rely both on the properties of the Dynkin idempotent, one of the fundamental Lie idempotents in the theory of free Lie algebras, and on properties of Hopf algebras encapsulated in the notion of associated descent algebras. Besides leading very directly to proofs of the main combinatorial aspects of the renormalization procedures, the new techniques give rise to an algebraic approach to the Galois theory of renormalization. In particular, they do not depend on the geometry underlying the case of dimensional regularization and the Riemann-Hilbert correspondence. This is illustrated with a discussion of the BPHZ renormalization scheme.
Comment: typos corrected, references updated, accepted for publ. in Commun. Math. Phys

الوصول الحر: http://arxiv.org/abs/hep-th/0609035Test

المؤلفون: Gracia-Bondia, J. M., Lizzi, Fedele, Ruiz, F. Ruiz, Vitale, Patrizia

المصدر: Phys.Rev.D74:025014,2006; Erratum-ibid.D74:029901,2006

مصطلحات موضوعية: High Energy Physics - Theory

الوصف: We prove that the Moyal product is covariant under linear affine spacetime transformations. From the covariance law, by introducing an $(x,\Theta)$-space where the spacetime coordinates and the noncommutativity matrix components are on the same footing, we obtain a noncommutative representation of the affine algebra, its generators being differential operators in $(x,\Theta)$-space. As a particular case, the Weyl Lie algebra is studied and known results for Weyl invariant noncommutative field theories are rederived in a nutshell. We also show that this covariance cannot be extended to spacetime transformations generated by differential operators whose coefficients are polynomials of order larger than one. We compare our approach with the twist-deformed enveloping algebra description of spacetime transformations.
Comment: 19 pages in revtex, references added

الوصول الحر: http://arxiv.org/abs/hep-th/0604206Test

المؤلفون: Ebrahimi-Fard, K., Gracia-Bondia, J. M., Guo, L., Varilly, J. C.

المصدر: Phys.Lett. B632 (2006) 552-558

مصطلحات موضوعية: High Energy Physics - Theory, Mathematical Physics

الوصف: We give a simple presentation of the combinatorics of renormalization in perturbative quantum field theory in terms of triangular matrices. The prescription, that may be of calculational value, is derived from first principles, to wit, the ``Birkhoff decomposition'' in the Hopf-algebraic description of renormalization by Connes and Kreimer.
Comment: 10 pages, revised version, typos corrected, to appear in Phys. Lett. B

الوصول الحر: http://arxiv.org/abs/hep-th/0508154Test