المؤلفون: Ishibashi, Akihiro, Maeda, Kengo, Okamura, Takashi

مصطلحات موضوعية: High Energy Physics - Theory, General Relativity and Quantum Cosmology

الوصف: We show that $3$-dimensional AdS spacetime can be semiclassically unstable due to strongly interacting quantum field effects. In our previous paper, we have pointed out the possibility of such an instability of AdS$_3$ by inspecting linear perturbations of the (covering space of) static BTZ black hole with AdS${}_4$ gravity dual in the context of holographic semiclassical problems. In the present paper, we further study this issue from thermodynamic viewpoint by constructing asymptotically AdS$_3$ semiclassical solutions and computing free energies of the solutions. We find two asymptotically AdS${}_3$ solutions to the semiclassical Einstein equations with non-vanishing source term: the one whose free energy is smaller than that of the BTZ with vanishing source term and the other whose free energy is smaller than that of the global AdS$_3$ with no horizon (thus manifestly zero-temperature background). The instability found in this paper implies the breakdown of the maximal symmetries of AdS$_3$, and its origin is different from the well-known semiclassical linear instability since our holographic semiclassical Einstein equations in $3$-dimensions do not involve higher order derivative terms.
Comment: 18 pages, 2 figures

الوصول الحر: http://arxiv.org/abs/2312.10311Test

المؤلفون: Natsuume, Makoto, Okamura, Takashi

مصطلحات موضوعية: High Energy Physics - Theory, General Relativity and Quantum Cosmology

الوصف: It remains unclear in general how the pole-skipping appears as a physical phenomenon, and we study the issue in the context of the AdS soliton. The pole-skipping has been discussed in black hole backgrounds, but the pole-skipping occurs even in the AdS soliton background. The geometry has a compact $S^1$-direction, and we compute the mass spectrum for the bulk scalar field, the bulk Maxwell field, and the gravitational perturbations with $S^1$ momentum. We show that the pole-skipping leaves its fingerprint in the the normal mode spectrum. The spectrum has some puzzling features because the would-be states are missing at pole-skipping points. The puzzling features disappear once one takes into account these pole-skipping points that we call "missing states."
Comment: 14 pages, 1 figure, ReVTeX4.2; v2: several clarifications, published version, title change to the published version

الوصول الحر: http://arxiv.org/abs/2307.11178Test

المؤلفون: Natsuume, Makoto, Okamura, Takashi

مصطلحات موضوعية: High Energy Physics - Theory, General Relativity and Quantum Cosmology

الوصف: The pole-skipping has been discussed in black hole backgrounds, but we point out that the pole-skipping exists even in a non-black-hole background, the AdS soliton. For black holes, the pole-skipping points are typically located at imaginary Matsubara frequencies $\omega=-(2\pi T)ni$ with an integer $n$. The AdS soliton is obtained by the double Wick rotation from a black hole. As a result, the pole-skipping points are located at $q_z=-(2\pi n)/l$, where $l$ is the $S^1$ periodicity and $q_z$ is the $S^1$ momentum. The ``chaotic" and the ``hydrodynamic" pole-skipping points lie in the physical region. We also propose a method to identify all pole-skipping points instead of the conventional method.
Comment: 15 pages, ReVTeX4.2; v2: comment on alternative formalism added in Sec. 2, physical implication added in Sec. 5, typos corrected, published version

الوصول الحر: http://arxiv.org/abs/2306.03930Test

مستخلص: Edge trimming is performed on a wafer while a cleaning liquid is supplied to the center of a face side of the wafer and the wafer is rotated to form a film of the cleaning liquid that covers the face side of the wafer. The film of the cleaning liquid prevents the face side of the wafer from being dried, lowering the probability that swarf will be introduced into devices on the face side of the wafer. In addition, the consumption of the cleaning liquid can be reduced compared with a step of performing edge trimming on the wafer while supplying a curtain of cleaning liquid to the entire face side of the wafer.

المؤلفون: Ishibashi, Akihiro, Maeda, Kengo, Okamura, Takashi

مصطلحات موضوعية: High Energy Physics - Theory, General Relativity and Quantum Cosmology

الوصف: In this paper, we consider how to formulate semiclassical problems in the context of the AdS/CFT correspondence, based on the proposal of Compere and Marolf. Our prescription involves the effective action with self-action term for boundary dynamical fields, which can be viewed as imposing mixed boundary conditions for the gravity dual. We derive the semiclassical Einstein equations sourced by boundary CFT stress-energy tensor. Analyzing perturbations of the holographic semiclassical Einstein equations, we find a universal parameter $\gamma_d$ which controls the contribution from boundary CFTs and specifies dynamics on the AdS boundary. As a simple example, we examine the semiclassical Einstein equations in $3$-dimensions with $4$-dimensional AdS gravity dual, and show that the boundary BTZ black hole with vanishing expectation value of the stress-energy tensor becomes unstable due to the backreaction from quantum stress-energy tensor when the parameter $\gamma_d$ exceeds a certain critical value.
Comment: 34 page, 4 figures; one figure and refs added, some clarifications made, version to appear in JHEP

الوصول الحر: http://arxiv.org/abs/2301.12170Test

المؤلفون: Natsuume, Makoto, Okamura, Takashi

مصطلحات موضوعية: High Energy Physics - Theory, General Relativity and Quantum Cosmology

الوصف: The holographic superconductor is the holographic dual of superconductivity, but there is no Meissner effect in the standard holographic superconductor. This is because the boundary Maxwell field is added as an external source and is not dynamical. We show the Meissner effect analytically by imposing the semiclassical Maxwell equation on the AdS boundary. Unlike in the Ginzburg-Landau (GL) theory, the extreme Type I limit cannot be reached even in the $e\to\infty$ limit where $e$ is the $U(1)$ coupling of the boundary Maxwell field. This is due to the bound current which is present even in the pure bulk Maxwell theory. In the bulk 5-dimensional case, the GL parameter and the dual GL theory are obtained analytically for the order parameter of scaling dimension 2.
Comment: 14 pages, ReVTeX4.2; v2: corrected typos and several clarifications

الوصول الحر: http://arxiv.org/abs/2207.07182Test

المؤلفون: Natsuume, Makoto, Okamura, Takashi

مصطلحات موضوعية: Quantum Physics, General Relativity and Quantum Cosmology, High Energy Physics - Theory, Nuclear Theory

الوصف: We point out little discussed phenomenon in elementary quantum mechanics. In one-dimensional potential scattering problems, the scattering amplitudes are not uniquely determined at special points in parameter space. We examine a few explicit examples. We also discuss the relation with the pole-skipping phenomena recently found in holographic duality. In the holographic pole-skipping, the retarded Green's functions are not uniquely determined at imaginary Matsubara frequencies. It turns out that this universality comes from the fact that the corresponding potential scattering problem has the angular momentum potential.
Comment: 14 pages, ReVTeX4.2; v2: several clarifications, published version

الوصول الحر: http://arxiv.org/abs/2108.07832Test

المؤلفون: Natsuume, Makoto, Okamura, Takashi

المصدر: Phys. Rev. D 103, 066017 (2021)

مصطلحات موضوعية: High Energy Physics - Theory, General Relativity and Quantum Cosmology

الوصف: We study the pole-skipping phenomenon of the scalar retarded Green's function in the rotating BTZ black hole background. In the static case, the pole-skipping points are typically located at negative imaginary Matsubara frequencies $\omega=-(2\pi T)ni$ with appropriate values of complex wave number $q$. But, in a $(1+1)$-dimensional CFT, one can introduce temperatures for left-moving and right-moving sectors independently. As a result, the pole-skipping points $\omega$ depend both on left and right temperatures in the rotating background. In the extreme limit, the pole-skipping does not occur in general. But in a special case, the pole-skipping does occur even in the extreme limit, and the pole-skipping points are given by right Matsubara frequencies.
Comment: 16 pages, ReVTeX4.2; v2: several clarifications, published version

الوصول الحر: http://arxiv.org/abs/2011.10093Test

المؤلفون: Natsuume, Makoto, Okamura, Takashi

مصطلحات موضوعية: High Energy Physics - Theory, General Relativity and Quantum Cosmology

الوصف: Recently, it is shown that many Green's functions are not unique at special points in complex momentum space using AdS/CFT. This phenomenon is similar to the pole-skipping in holographic chaos, and the special points are typically located at $\omega_n = -(2\pi T)ni$ with appropriate values of complex wave number $q_n$. We study finite-coupling corrections to special points. As examples, we consider four-derivative corrections to gravitational perturbations and four-dimensional Maxwell perturbations. While $\omega_n$ is uncorrected, $q_n$ is corrected at finite coupling. Some special points disappear at particular values of higher-derivative couplings. Special point locations of the Maxwell scalar and vector modes are related to each other by the electromagnetic duality.
Comment: 14 pages, ReVTeX4.1; v2: added comments on field redefinitions, published version

الوصول الحر: http://arxiv.org/abs/1909.09168Test

المؤلفون: Natsuume, Makoto, Okamura, Takashi

المصدر: Prog Theor Exp Phys (2020)

مصطلحات موضوعية: High Energy Physics - Theory, General Relativity and Quantum Cosmology

الوصف: We investigate the "pole-skipping" phenomenon in holographic chaos. According to the pole-skipping, the energy-density Green's function is not unique at a special point in complex momentum plane. This arises because the bulk field equation has two regular near-horizon solutions at the special point. We study the regularity of two solutions more carefully using curvature invariants. In the upper-half $\omega$-plane, one solution, which is normally interpreted as the outgoing mode, is in general singular at the future horizon and produces a curvature singularity. However, at the special point, both solutions are indeed regular. Moreover, the incoming mode cannot be uniquely defined at the special point due to these solutions.
Comment: 19 pages, PTEPHY; v2: a few clarifications, published version

الوصول الحر: http://arxiv.org/abs/1905.12014Test