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We study the one-dimensional S=1 Blume-Emery-Griffiths model. Upon transforming the spin model into an equivalent fermionic model, we provide the exact solution within the Green's function and equations of motion formalism. We show that the…

Strongly Correlated Electrons · Physics 2008-09-09 F. Mancini , F. P. Mancini

We use operator product expansion (OPE) techniques to study the spectral functions of currents and stress tensors at finite temperature, in the high-energy time-like region $\omega\gg T$. The leading corrections to these spectral functions…

High Energy Physics - Phenomenology · Physics 2014-11-18 S. Caron-Huot

Exact integral representations of spin one-point functions (ground state expectation values) are reported for the spin-1 analog of the XXZ model in the region $-1<q<0$. The method enables one to calculate arbitrary $n$-point functions in…

High Energy Physics - Theory · Physics 2008-02-03 Makoto Idzumi

We discuss conserved currents and operator product expansions (OPE's) in the context of a $O(N)$ invariant conformal field theory. Using OPE's we find explicit expressions for the first few terms in suitable short-distance limits for…

High Energy Physics - Theory · Physics 2014-11-18 Anastasios Petkou

We describe the dynamics of a single fermion in a dispersionless band coupled to the 2+1 dimensional conformal field theory (CFT) describing the quantum phase transition of a bosonic order parameter with N components. The fermionic spectral…

Strongly Correlated Electrons · Physics 2014-07-30 Andrea Allais , Subir Sachdev

We present results from numerical simulations of the (2+1)-dimensional Gross-Neveu model with a U(1) chiral symmetry and N_f=4 fermion species at non-zero temperature. We provide evidence that there are two different chirally symmetric…

High Energy Physics - Lattice · Physics 2009-11-07 S. J. Hands , J. B. Kogut , C. G. Strouthos

By applying the stress-tensor-scalar operator product expansion (OPE) twice, we search for algebraic structures in $d=4$ conformal field theories (CFTs) with a pure Einstein gravity dual. We find that a rescaled mode operator defined by an…

High Energy Physics - Theory · Physics 2022-09-07 Kuo-Wei Huang

We analyze a simple spin-flip process under the presence of two heat reservoirs. While one flip process is triggered by a bath at temperature $T$, the inverse process is activated by a bath at a different temperature $T ^{\prime}$. The…

Statistical Mechanics · Physics 2009-11-11 Steffen Trimper

We study conformal field theories at finite temperature in the presence of a temporal conformal line defect, wrapping the thermal circle, akin to a Polyakov loop in gauge theories. Although several symmetries of the conformal group are…

High Energy Physics - Theory · Physics 2025-03-10 Julien Barrat , Bartomeu Fiol , Enrico Marchetto , Alessio Miscioscia , Elli Pomoni

We study the conformal bootstrap for a 4-point function of fermions $\langle\psi\psi\psi\psi\rangle$ in 3D. We first introduce an embedding formalism for 3D spinors and compute the conformal blocks appearing in fermion 4-point functions.…

High Energy Physics - Theory · Physics 2016-07-08 Luca Iliesiu , Filip Kos , David Poland , Silviu S. Pufu , David Simmons-Duffin , Ran Yacoby

In this paper we present a Monte Carlo calculation of the critical temperature and other thermodynamic quantities for the unitary Fermi gas with a population imbalance (unequal number of fermions in the two spin components). We describe an…

Quantum Gases · Physics 2010-11-22 Olga Goulko , Matthew Wingate

We study higher spin tensor currents in quantum field theory. Scalar, spinor and vector fields admit unique "improved" currents of arbitrary spin, traceless and conserved. Off-criticality as well as at interacting fixed points conservation…

High Energy Physics - Theory · Physics 2009-10-31 D. Anselmi

We consider the longitudinal dynamical two-point function of the XXZ quantum spin chain in the antiferromagnetic massive regime. It has a series representation based on the form factors of the quantum transfer matrix of the model. The $n$th…

Statistical Mechanics · Physics 2021-11-30 Constantin Babenko , Frank Göhmann , Karol K. Kozlowski , Junji Suzuki

The sine-Gordon model serves as a foundational $1+1$-dimensional quantum field theory with numerous applications in condensed matter physics. Despite its integrability, characterizing its finite-temperature behavior remains a significant…

Statistical Mechanics · Physics 2026-04-15 M. Tóth , J. H. Pixley , G. Takács , M. Kormos

We present a generalized expression for the transfer matrix of finite and infinite one-dimensional spin chains within a magnetic field with spin pair interaction $J/r^p$, where $r\ = 1,2,\ldots,n_v$ is the distance between two spins, $n_v$…

Statistical Mechanics · Physics 2022-03-23 J. G. Martínez-Herrera , Omar Abel Rodríguez-López , M. A. Solís

We investigate the thermodynamic and emergent thermomechanical properties of fermions confined to a one-dimensional quantum ring with effective spin--orbit interactions induced by nonminimal couplings to antisymmetric tensor fields. Using…

Statistical Mechanics · Physics 2026-05-08 João A. A. S. Reis , L. Lisboa-Santos , Edilberto O. Silva

We experimentally determined various thermodynamic quantities of interacting two-component fermions at the zero-temperature limit from the Bardeen-Cooper-Schrieffer (BCS) region to the unitarity limit. The obtained results are very accurate…

We analyze (2+1)-dimensional Gross-Neveu model with a Thirring interaction, where a vector-vector type four-fermi interaction is on equal terms with a scalar-scalar type one. The Dyson-Schwinger equation for fermion self-energy function is…

High Energy Physics - Theory · Physics 2009-10-28 Tae Seong Kim , Won-Ho Kye , Jae Kwan Kim

It has been conjectured that 3d fermions minimally coupled to Chern-Simons gauge fields are dual to 3d critical scalars, also minimally coupled to Chern-Simons gauge fields. The large $N$ arguments for this duality can formally be used to…

High Energy Physics - Theory · Physics 2018-12-26 Ofer Aharony , Sachin Jain , Shiraz Minwalla

We calculate thermal corrections to R\'{e}nyi entropies for free massless fermions on a sphere. More specifically, we take a free fermion on $\mathbb{R}\times\mathbb{S}^{d-1}$ and calculate the leading thermal correction to the R\'{e}nyi…

High Energy Physics - Theory · Physics 2016-05-25 Christopher P. Herzog , Michael Spillane