We adopt the Dirac model for quasiparticles in graphene and calculate finite temperature Casimir interaction between a suspended layer parallel conducting surface. find that at high such system is just one half of two ideal conductors separated by same distance. In this limit single behaves exactly as Drude metal. particular, contribution TE mode suppressed, while TM saturates metal value. Behaviour intermediate temperatures separations accessible an experiment studied some detail. also...

We adopt the Dirac model for graphene and calculate Casimir interaction energy between a plane suspended sample parallel perfect conductor. This is done in two ways. First, we use quantum-field-theory approach evaluate leading-order diagram theory with $2+1$-dimensional fermions interacting $3+1$-dimensional photons. Next, consider an effective electromagnetic field matching conditions induced by quantum quasiparticles graphene. The first turns out to be leading order coupling constant of...

We consider different sets of AdS$_2$ boundary conditions for the Jackiw-Teitelboim model in linear dilaton sector where is allowed to fluctuate leading order at Poincar\'e disk. The most general set condtions easily motivated gauge theoretic formulation as a Poisson sigma and has an $\mathfrak{sl}(2)$ current algebra asymptotic symmetries. Consistency variational principle requires novel counterterm holographically renormalized action, namely kinetic term dilaton. on-shell action can be...

Carroll black holes with an associated temperature were introduced recently. So far, it is unclear if they exhibit a Hawking-like effect. To solve this, we study scalar fields on hole backgrounds. Inspired by anomaly methods, derive energy-momentum tensor compatible the and Stefan-Boltzmann law. Key steps in our derivation are finiteness of energy at extremal surface compatibility Carroll-Ward identities, thereby eliminating, respectively, analogs Boulware Unruh vacua. Published American...

We analyze the ultraviolet divergences in ground state energy for a penetrable sphere and dielectric ball. argue that massless fields subtraction of ``empty space'' or ``unbounded medium'' contribution is not enough to make finite whenever heat kernel coefficient ${a}_{2}$ zero. It turns out ${a}_{2}\ensuremath{\ne}0$ sphere, general background, To our surprise, more singular configurations, as presence sharp boundaries, coefficients behave some extent better than corresponding smooth cases,...

We analyze the Casimir interaction of doped graphene. To this end we derive a simple expression for finite temperature polarization tensor with chemical potential. It is found that doping leads to strong enhancement force reaching almost $60\%$ in quite realistic situations. This result should be important planning and interpreting measurements, especially taking into account undoped graphene rather weak.

We provide the first steps toward a flat space holographic correspondence in two bulk spacetime dimensions. The gravity side is described by conformally transformed version of matterless Callan-Giddings-Harvey-Strominger model. field theory follows from complex Sachdev-Ye-Kitaev model limit large specific heat and vanishing compressibility. derive boundary action analogous to Schwarzian as key link between sides show that it coincides with geometric discovered recently one us [H. R. Afshar,...

We show that the presence of parity-odd terms in conductivity (i.e. polarization tensor Dirac quasiparticles graphene) leads to rotation electromagnetic waves passing through suspended samples graphene. Parity-odd Chern–Simons-type contributions appear external magnetic fields, giving rise a quantum Faraday effect (though other sources effects may also be discussed). The estimated order is well above sensitivity limits modern optical instruments.

In this paper, we consider a Carroll magnetic limit of one-loop scalar effective action. We work on general static backgrounds and compute both divergent finite parts the action in limit. show that part can be removed by adding local counterterms. The is related to an lower dimensional theory which however does not coincide with one obtained classical counterpart. Published American Physical Society 2025

In this paper we critically reconsider the Casimir repulsion between surfaces that carry Chern-Simons interaction (corresponding to Hall-type conductivity). We present a derivation of Lifshitz formula valid for arbitrary planar geometries and discuss its properties. This analysis allows us resolve some contradictions in previous literature. compute energy two have constant longitudinal Hall conductivities. The is possible only if both conductivities same sign. However, there critical value...

In an analogy to the odd-dimensional case we define parity anomaly as part of one-loop effective action for fermions associated with spectral asymmetry Dirac operator. This quantity is computed directly on four-dimensional manifolds a boundary and related Chern-Simons current boundary. Despite quite unusual level obtained, gauge invariant passes all consistency checks.

A bstract In this paper we consider gravitational parity anomaly in three and four dimensions. We start with a re-computation of on 3D manifold without boundaries critical comparison our results to the previous calculations. Then compute 4D manifolds local bag boundary conditions. find, that is localized contains Chern-Simons terms together term depending extrinsic curvature. also discuss main properties anomaly, as conformal invariance, relations between anomalies, etc.

We apply zeta-function regularization to the kink and susy compute its quantum mass. fix ambiguities by renormalization condition that mass vanishes as one lets gap tend infinity while keeping scattering data fixed. As an alternative we write regulated sum over zero point energies in terms of heat kernel standard subtractions. Finally discuss what extent these procedures are equivalent usual conditions tadpoles vanish.

It has been proposed that the Poincare and some other symmetries of noncommutative field theories should be twisted. Here we extend this idea to gauge transformations find twisted close for arbitrary group. We also analyse twisted-invariant actions in theories.

We discuss the propagation of bosons (scalars, gauge fields and gravitons) at high energy in context spectral action. Using heat kernel techniques, we find that high-momentum limit quadratic part action does not contain positive powers derivatives. interpret this as fact two-point Green functions vanish for nearby points, where proximity scale is given by inverse cutoff.

A bstract The $$ \mathfrak{o}\mathfrak{s}\mathfrak{p}\left(2,\ \mathbb{N}\right) <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>o</mml:mi> <mml:mi>s</mml:mi> <mml:mi>p</mml:mi> <mml:mfenced> <mml:mrow> <mml:mn>2</mml:mn> <mml:mo>,</mml:mo> <mml:mspace /> <mml:mi>ℕ</mml:mi> </mml:mrow> </mml:mfenced> </mml:math> -BF formulation of dilaton supergravity in two dimensions is considered. We introduce a consistent class asymptotic conditions preserved by the extended...