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The paper presents new method for calculating the low-temperature asymptotics of free energy of the 3D Ising model in external magnetic field $(H\neq 0)$. The results obtained are valid in the wide range of temperature and magnetic field…

Statistical Mechanics · Physics 2007-05-23 Martin S. Kochman'ski

I will review results obtained recently within the Hamilton approach to QCD in Coulomb gauge. The focus will be on finite-temperature Yang--Mills theory and chiral symmetry breaking in QCD.

High Energy Physics - Theory · Physics 2011-12-01 Hugo Reinhardt , Davide R. Campagnari , Jan Heffner , Markus Pak

The paper describes a method for calculating values of Riemann's Zeta function within the critical strip 0< {\sigma} <1 and on its boundary. The approach is based on the "Alternating Zeta function" {\eta}(s). The actual Riemann Zeta…

Number Theory · Mathematics 2011-10-10 Renaat Van Malderen

We show generally that in thermal gravity, the one-particle irreducible 2-point function depends on the choice of the basic graviton fields. We derive the relevant properties of a physical graviton self-energy, which is independent of the…

High Energy Physics - Theory · Physics 2009-10-22 F. T. Brandt , J. Frenkel

We integrate out fast varying quantum fluctuations around static A_4 and A_i fields for the SU(N) gauge group. By assuming that the gluon fields are slowly varying but allowing for an arbitrary amplitude of A_4 we obtain two variants of the…

High Energy Physics - Phenomenology · Physics 2009-11-10 Dmitri Diakonov , Michaela Oswald

Finite temperature correlation functions in integrable quantum field theories are formulated only in terms of the usual, temperature-independent form factors, and certain thermodynamic filling fractions which are determined from the…

High Energy Physics - Theory · Physics 2009-10-31 A. Leclair , G. Mussardo

We study the finite temperature effective potential of the Higgs scalar in GUTs with Coleman-Weinberg symmetry breaking. The critical temperature is derived without employing a high temperature approximation to the effective potential, and…

High Energy Physics - Phenomenology · Physics 2009-10-22 Richard Easther , William Moreau

We present an approach to $U_\star(N)$ Yang-Mills theory in non-commutative space based upon a novel phase-space analysis of the dynamical fields with additional auxiliary variables that generate Lorentz structure and colour degrees of…

High Energy Physics - Theory · Physics 2019-05-01 Naser Ahmadiniaz , Olindo Corradini , James P. Edwards , Pablo Pisani

In this paper we compute the effective Lagrangian of static gravitational fields interacting with thermal fields of generalized electrodynamics at high temperature. We employ the usual Matsubara imaginary-time formalism to obtain a closed…

High Energy Physics - Theory · Physics 2014-12-09 R. Bufalo

We calculate the value of the coupling at the infrared zero of the beta function of an asymptotically free SU(3) gauge theory at the five-loop level as a function of the number of fermions. Both a direct analysis of the beta function and…

High Energy Physics - Theory · Physics 2016-11-23 Thomas A. Ryttov , Robert Shrock

We compute the one loop effective action for a Quantum Field Theory at finite temperature, in the presence of background gauge fields, employing the Heat-Kernel method. This method enables us to compute the thermal corrections to the Wilson…

High Energy Physics - Theory · Physics 2025-02-26 Joydeep Chakrabortty , Subhendra Mohanty

The thermal properties of bulk copper are investigated by performing ab initio DFT and DFPT calculations and using the quasiharmonic approximation for the free energy. Using both the LDA and the GGA for the exchange-correlation potential,…

Materials Science · Physics 2009-11-07 Shobhana Narasimhan , Stefano de Gironcoli

We derived the thermodynamic curvature of the Ising model on a kagome lattice under the presence of an external magnetic field. The curvature was found to have a singularity at the critical point. We focused on the zero field case to derive…

Statistical Mechanics · Physics 2013-01-22 Behrouz Mirza , Zahra Talaei

It is proven that there exist some universal relations between the energy gap and the differences of the thermodynamic potential, entropy, specific heat and critical magnetic field for many two- and three-dimensional models of…

Superconductivity · Physics 2015-06-24 R. Gonczarek , M. Krzyzosiak

Recently, it has been conjectured that deconfining phase transition in SU(N_c) pure Yang-Mills theories is continuously connected to a quantum phase transition in softly broken N=1 super Yang-Mills on R^{1,2}*S^1. We exploit this conjecture…

High Energy Physics - Theory · Physics 2013-10-30 Mohamed M. Anber

A detailed study of the analytic structure of 1-loop self energy graphs for neutral and charged $\rho$ mesons is presented at finite temperature and arbitrary magnetic field using the real time formalism of thermal field theory. The…

High Energy Physics - Phenomenology · Physics 2018-01-03 Snigdha Ghosh , Arghya Mukherjee , Mahatsab Mandal , Sourav Sarkar , Pradip Roy

At finite temperature the distribution of the total momentum is an observable characterizing the thermal state of a field theory, and its cumulants are related to thermodynamic potentials. In a relativistic system at zero chemical…

High Energy Physics - Lattice · Physics 2011-10-20 Leonardo Giusti

We give an analytical derivation of the confinement/deconfinement phase transition at finite temperature in the $SU(N)$ Yang-Mills theory in the $D$-dimensional space time for $D>2$. We elucidate what is the mechanism for quark confinement…

High Energy Physics - Theory · Physics 2015-09-30 Kei-Ichi Kondo

Four different types of free energies are computed by both thermodynamical Bethe Ansatz (TBA) techniques and by weak coupling perturbation theory in an integrable one-parameter deformation of the O(4) principal chiral sigma-model (with…

High Energy Physics - Theory · Physics 2009-10-31 Janos Balog , Peter Forgacs

In the Ising model on the simple cubic lattice, we describe the inverse temperature $\beta$ and other quantities relevant for the computation of critical quantities in terms of a dimensionless squared mass $M$. The critical behaviors of…

High Energy Physics - Lattice · Physics 2015-08-25 Hirofumi Yamada