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We derive a general formulation for thermal Lie superalgebras motivated by thermofield dynamics formalism (TFD). Particularly, we construct the thermal Poincar\'e superalgebras. The operators in TFD are defined through the doubling of the…

High Energy Physics - Theory · Physics 2022-01-05 Marco A. S. Trindade , Eric Pinto

In this paper, we give a simple diagrammatic identification of the unique combination of the causal n-point vertex functions in the real time formalism that would coincide with the corresponding functions obtained in the imaginary time…

High Energy Physics - Theory · Physics 2016-08-25 F. T. Brandt , Ashok Das , J. Frenkel , A. J. da Silva

We discuss the thermodynamics of the O(N) nonlinear sigma model in 1+1 dimensions. In particular we investigate the NLO 1/N correction to the 1PI finite temperature effective potential expressed in terms of an auxiliary field. The effective…

High Energy Physics - Phenomenology · Physics 2017-08-23 Harmen J. Warringa

We show that in critical loop models, torus 1-point functions can be expressed in terms of sphere 4-point functions at a different central charge. Unlike in the Moore--Seiberg formalism, crossing symmetry on the sphere therefore implies…

Mathematical Physics · Physics 2026-04-28 Paul Roux , Sylvain Ribault , Jesper Lykke Jacobsen

The late time physics of interacting QFTs at finite temperature is controlled by hydrodynamics. For CFTs this implies that heavy operators -- which are generically expected to create thermal states -- can be studied semiclassically. We show…

High Energy Physics - Theory · Physics 2022-07-12 Luca V. Delacretaz

We present a simple Lie-algebraic approach to momentum-space two-point functions of two-dimensional conformal field theory at finite temperature dual to the BTZ black hole. Making use of the real-time prescription of AdS/CFT correspondence…

High Energy Physics - Theory · Physics 2014-11-18 Satoshi Ohya

We discuss the phase diagram and the universal scaling functions of attractive Fermi gases at finite imbalance. The existence of a quantum multicritical point for the unitary gas at vanishing chemical potential $\mu$ and effective magnetic…

Quantum Gases · Physics 2018-11-09 Bernhard Frank , Johannes Lang , Wilhelm Zwerger

Both black hole thermodynamics and finite volume effects in quantum field theory violate the null energy condition. Motivated by this, we compare thermodynamic features between two $1+1$-dimensional systems: (i) a scalar field confined to a…

High Energy Physics - Theory · Physics 2025-06-06 Jean Alexandre , Drew Backhouse , Eleni-Alexandra Kontou , Diego Pardo Santos , Silvia Pla

We show that thermal effective field theory controls the long-distance expansion of the partition function of a $d$-dimensional QFT, with an insertion of any finite-order spatial isometry. Consequently, the thermal partition function on a…

High Energy Physics - Theory · Physics 2024-09-04 Nathan Benjamin , Jaeha Lee , Sridip Pal , David Simmons-Duffin , Yixin Xu

We derive spectral representations for the different components of the 4-point function at finite temperature in the real time formalism in terms of five real spectral densities. We explicitly calculate all these functions in QED in the…

High Energy Physics - Phenomenology · Physics 2014-11-17 Hou Defu , M. E. Carrington , R. Kobes , U. Heinz

It is generally agreed that black hole formation in gravity corresponds to thermalization in the dual CFT. It is sometimes argued that if the CFT evolution shows evidence of large redshift in gravity, then we have seen black hole formation…

High Energy Physics - Theory · Physics 2020-06-24 Shaun Hampton , Samir D. Mathur

We discuss kinematical features of conformal Carroll field theories in three dimensions (3d). Conformal extension of Carroll algebra is infinite dimensional even in 3d unlike its relativistic counterpart, and hence 3d Carroll CFTs share…

High Energy Physics - Theory · Physics 2024-05-01 Sudipta Dutta

't Hooft anomalies are known to induce specific contributions to the effective action at finite temperature. We present a general method to directly calculate such contributions from the anomaly polynomial of a given theory, including a…

High Energy Physics - Theory · Physics 2022-12-14 Kantaro Ohmori , Luigi Tizzano

Strongly disordered and strongly interacting quantum critical points are difficult to access with conventional field theoretic methods. They are, however, both experimentally important and theoretically interesting. In particular, they are…

High Energy Physics - Theory · Physics 2016-05-04 Sean A. Hartnoll , David M. Ramirez , Jorge E. Santos

It is shown how the geometrical splitting of N-point Feynman diagrams can be used to simplify the parametric integrals and reduce the number of variables in the occurring functions. As an example, a calculation of the…

High Energy Physics - Theory · Physics 2022-10-21 Andrei I. Davydychev

The action for a class of three-dimensional dilaton-gravity theories, with an electromagnetic Maxwell field and a cosmological constant, can be recast in a Brans-Dicke-Maxwell type action, with its free $\omega$ parameter. For a negative…

General Relativity and Quantum Cosmology · Physics 2009-02-23 Gonçalo A. S. Dias , José P. S. Lemos

The joint statistical properties of two free energies computed at two different temperatures in {\it the same sample} of $(1+1)$ directed polymers is studied in terms of the replica technique. The scaling dependence of the reduced free…

Statistical Mechanics · Physics 2017-02-01 Victor Dotsenko

The n-point correlation functions introduced by Bloch and Okounkov have already found several geometric connections and algebraic generalizations. In this Note we formulate a q,t-deformation of this n-point function. The key operator used…

Combinatorics · Mathematics 2007-05-23 Shun-Jen Cheng , Weiqiang Wang

When an abelian gauge theory with integer charges is spontaneously broken by the expectation value of a charge Q field, there remains a Z_Q discrete symmetry. In a supersymmetric theory, holomorphy adds additional constraints on the…

High Energy Physics - Phenomenology · Physics 2010-10-27 David E. Morrissey , James D. Wells

By the concurrent use of two different resummation methods, the composite operator formalism and the Dyson-Schwinger equation, we re-examinate the behavior at finite temperature of the O(N)-symmetric $\lambda\phi^{4}$ model in a generic…

High Energy Physics - Theory · Physics 2009-10-31 G. N. J. Añaños , A. P. C. Malbouisson , N. F. Svaiter