Black hole quasinormal frequencies are complex numbers that encode information on how a black relaxes after it has been perturbed and depend the features of geometry type perturbations. On one hand, examples studied so far in literature focused case geometries with singularities their interior. other is expected quantum or classical modifications general relativity may correct pathological singular behavior solutions. Despite fact we do not have at hand complete theory gravity, regular...

This paper explores how magnetic fields affect the Casimir effect within context of a simple quasi-1D interacting fermionic system. A novel phenomenon emerges, resulting from interaction between external and boundary conditions, which alters ground state in complex ways leads to first-order phase transitions among various states, specifically inhomogeneous solutions with differing node counts. We calculate force, exhibits discontinuities (jumps) at transition points different states....

We perform an explicit calculation of the axial current at finite rotation and temperature in curved space. find that curvature mass corrections to chiral vortical effect satisfy a relation gap effect, is, fermion shift by scalar curvature. also point out product term angular velocity shares same coefficient as mixed gravitational anomaly. discuss possible applications curvature-induced rotating astrophysical compact objects described Kerr metric. Instead direct calculation, we assume...

In this work we consider a fermionic chain of finite length $\ensuremath{\ell}$. Fermions are allowed to interact and forced obey boundary conditions, thus altering the process condensation. Our goal is explore how affects quantum vacuum energy for system. We approach problem by using self-consistent method observe nontrivial behavior in Casimir force, displaying switch from an attractive repulsive regime. This flip stems competition between contribution usual effect one coming condensate.

The lowest order quantum corrections to the effective action arising from quantized massive fermion fields in Randall-Sundrum background spacetime are computed. boundary conditions and their relation with gauge invariance examined detail. possibility of Wilson loop symmetry breaking brane models is also analyzed. self-consistency requirements, previously considered case a bulk scalar field, extended include contribution fermions. It shown that this it possible stabilize radius extra...

With the intent of exploring how interplay between boundary effects and chiral symmetry breaking may alter thermodynamical behavior a system strongly interacting fermions, we study Casimir effect for setup two parallel layers using four-fermion effective field theory at zero density. This reveals number interesting features. While infinitely large separation (no boundaries), is broken or restored via second order phase transition, in opposite case small (and, general, finite) transition...

We propose a new renormalization scheme of the running coupling constant in general gauge theories using Wilson loops. The renormalized is obtained from Creutz ratio lattice simulations and corresponding perturbative coefficient at leading order. latter can be calculated by adopting zeta-function resummation techniques. perform benchmark test our quenched QCD with plaquette action. determined applying step-scaling procedure. Using several methods to improve statistical accuracy, we show that...

In this work we analyze how effects of finite size may modify the thermodynamics a system strongly interacting fermions that model using an effective field theory with four-point interactions at temperature and density look in detail case confining two-layer system. We compute thermodynamic potential large-$N$ mean-field approximations adopt zeta-function regularization scheme to regulate divergences. Explicit expansions are obtained different regimes separation. The analytic structure is...

We discuss a new type of QCD phenomenon induced in curved space. In the vacuum, mass-gap Dirac fermions is attributed to spontaneous breaking chiral symmetry. If curvature positive large, condensate melts but invariant can still remain, which we name gap effect This leads decoupling quark deconfinement implies view black holes surrounded by first-order phase transition.

In this work, we derive exact self-consistent solutions to the gap equations of CPN−1 model on a finite interval with Dirichlet boundary conditions in large-N approximation. The solution reproduces confining phase infinite system by taking appropriate limit. We compute vacuum energy and Casimir force observe that sign is always attractive.

Continuing our previous work, we consider a class of higher dimensional brane models with the topology ${\mathrm{AdS}}_{{D}_{1}+1}\ifmmode\times\else\texttimes\fi{}\ensuremath{\Sigma},$ where $\ensuremath{\Sigma}$ is one-parameter compact manifold and two branes codimension one are located at orbifold fixed points. We setup such solution arises from Einstein-Yang-Mills theory evaluate one-loop effective potential induced by gauge fields generic bulk scalar field. show that this type model...

TeV-scale gravity theories allow the possibility of producing small black holes at energies that soon will be explored LHC or Auger observatory. One expected signatures is detection Hawking radiation, might eventually terminate if hole, once perturbed, leaves brane. Here, we study how `black hole plus brane' system evolves given an initial velocity, mimics, for instance, recoil due to emission a graviton. The results our dynamical analysis show brane bends around suggesting escapes into...

We discuss the localization of scalar, fermion, and gauge field zero modes on a $3-$brane that resides at intersection two $4-$branes in six-dimensional anti-de Sitter space. This set-up has been introduced context brane world models and, higher-dimensional versions it, string theory. In both six- ten-dimensional cases, it shown four-dimensional gravity can be reproduced intersection, due to existence massless, localized graviton zero-mode. However, realistic scenarios require also Standard...

We study the polarization of vacuum for a scalar field, $⟨{\ensuremath{\phi}}^{2}⟩$, on asymptotically anti-de Sitter black hole geometry. The method we follow uses WKB analytic expansion and point-splitting regularization, similar to previous calculations in flat case. Following standard procedures, write Green function, regularize initial divergent expression by point-splitting, renormalize it subtracting geometrical counterterms, take coincidence limit end. After explicitly demonstrating...

In this work we consider an interacting quantum field theory on a curved two-dimensional manifold that construct by geometrically deforming flat hexagonal lattice the insertion of defect. Depending how deformation is done, resulting geometry acquires locally non-vanishing curvature can be either positive or negative. Fields propagating background are forced to satisfy boundary conditions modulated and assimilated non-dynamical gauge field. We present explicit example where compete in...

We consider the Casimir effect between two parallel plates localized on a brane. argue that in order to properly compute contribution energy due any higher dimensional field, it is necessary take into account localization properties of Kaluza-Klein modes. When bulk field configuration such no massless mode appears spectrum, as, for instance, when obeys twisted boundary conditions across branes, correction exponentially suppressed. present can be, principle, sizeable. However, and strongly...

In this paper, we extend previous results on the quantum vacuum or Casimir energy, for a noninteracting rotating system and an interacting nonrotating system, to case where both rotation interactions are present. Concretely, first reconsider of scalar field theory propose alternative simpler method compute energy based replica trick Coleman-Weinberg effective potential. We then consider simultaneous effect interactions, including explicit breaking rotational symmetry. To study problem,...

The fermion representations and boundary conditions in five-dimensional anti-de-Sitter space are described detail. In each case the one loop effective action is calculated for massless fermions. possibility of topological or Wilson symmetry breaking discussed.

Previous studies concerning the interaction of branes and black holes suggested that a small hole intersecting brane may escape via mechanism reconnection. Here we consider this problem by studying domain wall composed scalar field simulate evolution system when acquires an initial recoil velocity. We test confirm previous results, however, unlike cases previously studied, in more general set-up considered here, are able to follow also during separation, completely illustrate how takes place.