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We argue that the temperature inversion symmetry present in the original Casimir setup and also in other Casimir systems for which symmetrical boundary conditions are imposed is not related to the duality transformations that in the context…

高能物理 - 理论 · 物理学 2007-05-23 F C Santos , A C Tort

In a class of 2D CFTs with higher spin symmetry, we compute thermal two-point functions of certain scalar primary operators in the presence of nonzero chemical potential for higher spin charge. These are shown to agree with the same…

高能物理 - 理论 · 物理学 2015-06-16 Matthias R. Gaberdiel , Kewang Jin , Eric Perlmutter

Marginal operators in a d-dimensional conformal field theory (CFT), those with conformal dimension $\Delta=d$, give us information about the space of related theories. This can be incredibly useful when trying to develop an intrinsic…

高能物理 - 理论 · 物理学 2025-07-22 Sruthi A. Narayanan

The interaction of quantum fields with fractal and self-similar geometries encompasses multiple distinct physical regimes, including spectral geometry on intrinsic fractals, macroscopic self-similar Casimir configurations, and bounded…

量子物理 · 物理学 2026-04-21 Goren Gordon

In this work we launch a systematic theory of superconformal blocks for four-point functions of arbitrary supermultiplets. Our results apply to a large class of superconformal field theories including 4-dimensional models with any number…

高能物理 - 理论 · 物理学 2020-02-19 Ilija Buric , Volker Schomerus , Evgeny Sobko

The temperature dependence of the Casimir-Polder interaction addresses fundamental issues for understanding vacuum and thermal fluctuations. It is highly sensitive to surface waves which, in the near field, govern the thermal emission of a…

Extended objects such as line or surface operators, interfaces or boundaries play an important role in conformal field theory. Here we propose a systematic approach to the relevant conformal blocks which are argued to coincide with the wave…

高能物理 - 理论 · 物理学 2018-11-14 Mikhail Isachenkov , Pedro Liendo , Yannick Linke , Volker Schomerus

Conformal blocks are the building blocks for correlation functions in conformal field theories. The four-point function is the most well-studied case. We consider conformal blocks for $n$-point correlation functions. For conformal field…

高能物理 - 理论 · 物理学 2019-03-27 Vladimir Rosenhaus

We apply the OPE inversion formula to thermal two-point functions of bosonic and fermionic CFTs in general odd dimensions. This allows us to analyze in detail the operator spectrum of these theories. We find that nontrivial thermal CFTs…

高能物理 - 理论 · 物理学 2018-08-22 Anastasios C. Petkou , Andreas Stergiou

The main part of this paper is to present an updated review of the Casimir energy at zero and finite temperature for the transverse oscillations of a piecewise uniform closed string. We make use of three different regularizations: the…

量子物理 · 物理学 2015-06-03 Iver Brevik

I point out that the thermal one-point functions of a pair of relevant operators in massive free QFTs, in odd dimensions and in the presence of an imaginary chemical potential for a U(1) global charge, are given by certain classes of…

高能物理 - 理论 · 物理学 2021-06-30 Anastasios C. Petkou

We study the thermal transport properties of general conformal field theories (CFTs) on curved spacetimes in the leading order viscous hydrodynamic limit. At the level of linear response, we show that the thermal transport is governed by a…

高能物理 - 理论 · 物理学 2017-02-08 Elliot Banks , Aristomenis Donos , Jerome P. Gauntlett , Tom Griffin , Luis Melgar

Consider a singularly perturbed system $$\epsilon u_t=\epsilon^2 u_{xx} + f(u,x,\epsilon),\quad u\in {\Bbb R}^n,x\in{\Bbb R},t\geq 0. $$ Assume that the system has a sequence of regular and internal layers occurring alternatively along the…

patt-sol · 物理学 2008-02-03 Xiao-Biao Lin

Assuming that a formal approximation of multiple waves has been obtained by matched asymptotic methods, we derive a {\em Spatial Shadowing lemma} to construct exact solutions near the formal approximation. In Part I, we consider a general…

patt-sol · 物理学 2014-11-18 Xiao-Biao Lin

Using the mixed space representation (t,p) in the context of scalar field theories, we prove in a simple manner that the Feynman graphs at finite temperature are related to the corresponding zero temperature diagrams through a simple…

高能物理 - 理论 · 物理学 2008-11-26 Fernando T. Brandt , Ashok Das , Olivier Espinosa , Josif Frenkel , Silvana Perez

Nearly all thermal radiation phenomena involving materials with linear response can be accurately described via semi-classical theories of light. Here, we go beyond these traditional paradigms to study a nonlinear system which, as we show,…

光学 · 物理学 2020-02-19 Chinmay Khandekar , Liping Yang , Alejandro W. Rodriguez , Zubin Jacob

The formalism of relativistic partial wave expansion is developed for four-point celestial amplitudes of massless external particles. In particular, relativistic partial waves are found as eigenfunctions to the product representation of…

高能物理 - 理论 · 物理学 2020-12-01 Y. T. Albert Law , Michael Zlotnikov

In the multi-component configurations of dark matter phenomenology, we propose a minimal two-component configuration which is an extension of the Standard Model with only three new fields; one scalar and one fermion interact with the…

高能物理 - 唯象学 · 物理学 2018-06-05 S. Peyman Zakeri , S. Mohammad Moosavi Nejad , Mohammadreza Zakeri , S. Yaser Ayazi

The decomposition of correlation functions into conformal blocks is an indispensable tool in conformal field theory. For spinning correlators, non-trivial tensor structures are needed to mediate between the conformal blocks, which are…

高能物理 - 理论 · 物理学 2020-10-28 Ilija Buric , Mikhail Isachenkov , Volker Schomerus

We investigate Casimir effect as well as thermal Casimir effect for a pair of parallel perfectly plates placed in general stationary space-time background. It is found that the Casimir energy is influenced by the 00-component of metric and…

量子物理 · 物理学 2017-10-10 Anwei Zhang