Asymptotically free theory with scale invariant thermodynamics

Gabriel N. Ferrari, Jean-Loïc Kneur, Marcus Benghi Pinto, and Rudnei O. Ramos
Phys. Rev. D 96, 116009 – Published 12 December 2017

Abstract

A recently developed variational resummation technique, incorporating renormalization group properties consistently, has been shown to solve the scale dependence problem that plagues the evaluation of thermodynamical quantities, e.g., within the framework of approximations such as in the hard-thermal-loop resummed perturbation theory. This method is used in the present work to evaluate thermodynamical quantities within the two-dimensional nonlinear sigma model, which, apart from providing a technically simpler testing ground, shares some common features with Yang-Mills theories, like asymptotic freedom, trace anomaly and the nonperturbative generation of a mass gap. The present application confirms that nonperturbative results can be readily generated solely by considering the lowest-order (quasiparticle) contribution to the thermodynamic effective potential, when this quantity is required to be renormalization group invariant. We also show that when the next-to-leading correction from the method is accounted for, the results indicate convergence, apart from optimally preserving, within the approximations here considered, the sought-after scale invariance.

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  • Received 11 September 2017

DOI:https://doi.org/10.1103/PhysRevD.96.116009

© 2017 American Physical Society

Physics Subject Headings (PhySH)

Particles & Fields

Authors & Affiliations

Gabriel N. Ferrari1, Jean-Loïc Kneur2, Marcus Benghi Pinto1, and Rudnei O. Ramos3,4

  • 1Departamento de Física, Universidade Federal de Santa Catarina, 88040-900 Florianópolis, Santa Catarina, Brazil
  • 2Laboratoire Charles Coulomb (L2C), UMR 5221 CNRS-Université Montpellier, 34095 Montpellier, France
  • 3Departamento de Física Teórica, Universidade do Estado do Rio de Janeiro, 20550-013 Rio de Janeiro, Rio de Janeiro, Brazil
  • 4Physics Department, McGill University, Montreal, QC H3A 2T8, Canada

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Issue

Vol. 96, Iss. 11 — 1 December 2017

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