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The linear $\delta$ expansion is used to obtain corrections up to O$(\delta^2)$ to the self-energy for a complex scalar field theory with a $\lambda (\phi^{\star}\phi)^2$ interaction at high temperature and non-zero charge density. The…

High Energy Physics - Theory · Physics 2011-07-19 H. F. Jones , Philip Parkin

The excited state thermodynamic Bethe ansatz (TBA) equations for the spinless Fermion model are presented by the quantum transfer matrix (QTM) approach. We introduce a more general family called T-functions and explore functional relations…

Statistical Mechanics · Physics 2012-09-27 Kazumitsu Sakai

Using a Dyson--Schwinger approach, we perform an analysis of the non-trivial ground state of thermal $SU(N)$ Yang--Mills theory in the non-perturbative regime where chiral symmetry is dynamically broken by a mass gap. Basic thermodynamic…

High Energy Physics - Phenomenology · Physics 2025-04-03 Marco Frasca , Anish Ghoshal , Stefan Groote

The new algorithm of the finite lattice method is applied to generate the high-temperature expansion series of the simple cubic Ising model to $\beta^{50}$ for the free energy, to $\beta^{32}$ for the magnetic susceptibility and to…

High Energy Physics - Lattice · Physics 2009-11-10 H. Arisue , T. Fujiwara , K. Tabata

The temperature dependence of the anomalous sector of the effective action of fermions coupled to external gauge and pseudo-scalar fields is computed at leading order in an expansion in the number of Lorentz indices in two and four…

High Energy Physics - Theory · Physics 2016-08-25 L. L. Salcedo

Using the background field method for the functional renormalization group approach in the case of a generic gauge theory, we study the background field symmetry and gauge dependence of the background average effective action, when the…

High Energy Physics - Theory · Physics 2019-08-23 Peter M. Lavrov , Eduardo Antonio dos Reis , Tibério de Paula Netto , Ilya L. Shapiro

A paradigm shift in quantum thermometry is proposed. To date, thermometry has relied on local estimation, which is useful to reduce statistical fluctuations once the temperature is very well known. In order to estimate temperatures in cases…

Quantum Physics · Physics 2021-11-04 Jesús Rubio , Janet Anders , Luis A. Correa

The beta-function is investigated on the lattice in SU(2) gluodynamics. It is determined within a scaling hypothesis while a lattice size fixed to be taken into account. The functions calculated are compared with the ones obtained in the…

High Energy Physics - Lattice · Physics 2013-12-11 S. S. Antropov , O. A. Mogilevsky , V. V. Skalozub

Nonperturbative determinations of the renormalization group $\beta$ function are essential to connect lattice results to perturbative predictions of strongly coupled gauge theories and to determine the $\Lambda$ parameter or the strong…

High Energy Physics - Lattice · Physics 2023-07-13 Anna Hasenfratz , Curtis Taylor Peterson , Jake van Sickle , Oliver Witzel

Perturbative Coulomb gauge Yang-Mills theory within the first order formalism is considered. Using a differential equation technique and dimensional regularization, analytic results for both the ultraviolet divergent and finite parts of the…

High Energy Physics - Theory · Physics 2008-11-26 Peter Watson , Hugo Reinhardt

(R-channel) TBA is elaborated to find the effective central charge dependence on the boundary parameters for the massless boundary sine-Gordon model with the coupling constant $(8\pi) /\beta^2 = 1+ \lambda $ with $\lambda$ a positive…

High Energy Physics - Theory · Physics 2010-04-05 Taejun Lee , Chaiho Rim

The chiral phase transition is investigated within the framework of thermal field theory using the O(N) linear sigma model as an effective theory. We calculate the thermal effective potential by using the Cornwall-Jackiw-Tomboulis formalism…

High Energy Physics - Phenomenology · Physics 2007-05-23 Nicholas Petropoulos

We compute the single particle spectral function of a Bose liquid on a lattice, at integer filling, close to the superfluid-Mott transition. We use a `static path approximation' that retains all the classical thermal fluctuations in the…

Strongly Correlated Electrons · Physics 2017-12-13 Abhishek Joshi , Pinaki Majumdar

Coulomb gauge Yang-Mills theory is considered within the first order formalism. It is shown that the action is invariant under both the standard BRS transform and an additional component. The Ward-Takahashi identity arising from this…

High Energy Physics - Theory · Physics 2008-11-26 P. Watson , H. Reinhardt

The purpose of the present work is to apply the method recently developed in reference [chain_m] to the spin-1 Ising chain, showing how to obtain analytical $\beta$-expansions of thermodynamical functions through this formalism. In this…

Condensed Matter · Physics 2009-11-07 Winder A. Moura-Melo , Onofre Rojas , E. V. Correa Silva , S. M. de Souza , M. T. Thomaz

Thermal transport coefficients are independent of the specific microscopic expression for the energy density and current from which they can be derived through the Green-Kubo formula. We discuss this independence in terms of a kind of gauge…

Statistical Mechanics · Physics 2017-06-09 Loris Ercole , Aris Marcolongo , Paolo Umari , Stefano Baroni

The formula for the temperature dependence of the effective mass of a $^{4}% $He atom in the superfluid and normal phases is obtained.\,\,This expression for the effective mass allows one to eliminate infra-red divergences, being applicable…

Quantum Gases · Physics 2016-01-27 Ivan Vakarchuk , Orest Hryhorchak , Volodymyr Pastukhov , Roman Prytula

The beta function of the vacuum energy density is analytically computed at the five-loop level in O(N)-symmetric phi^4 theory, using dimensional regularization in conjunction with the MSbar scheme. The result for the case of a cubic…

High Energy Physics - Phenomenology · Physics 2007-05-23 Boris Kastening

In the paper, within the background field method, the renormalization and the gauge dependence is studied as for an SU(2) Yang-Mills theory with multiplets of spinor and scalar fields. By extending the quantum action of the BV-formalism…

High Energy Physics - Theory · Physics 2019-07-31 Igor A. Batalin , Peter M. Lavrov , Igor V. Tyutin

We compute the contribution to the modulus of the one-loop effective action in pure non-Abelian Chern-Simons theory in an arbitrary covariant gauge. We find that the results are dependent on both the gauge parameter ($\alpha$) and the…

High Energy Physics - Theory · Physics 2009-10-30 F. A. Dilkes , L. C. Martin , D. G. C. McKeon , T. N. Sherry
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