Asymptotically Free Theory with Scale Invariant Thermodynamics
| Autor: | Jean-Loïc Kneur, Rudnei O. Ramos, Gabriel N. Ferrari, Marcus Benghi Pinto |
|---|---|
| Přispěvatelé: | Laboratoire Charles Coulomb (L2C), Université de Montpellier (UM)-Centre National de la Recherche Scientifique (CNRS) |
| Jazyk: | angličtina |
| Rok vydání: | 2017 |
| Předmět: |
Physics
High Energy Physics - Theory Sigma model Nuclear Theory [PHYS.NUCL]Physics [physics]/Nuclear Theory [nucl-th] 010308 nuclear & particles physics [PHYS.HTHE]Physics [physics]/High Energy Physics - Theory [hep-th] FOS: Physical sciences Scale invariance Renormalization group Invariant (physics) 01 natural sciences Asymptotic freedom Nuclear Theory (nucl-th) Nonlinear system High Energy Physics - Phenomenology High Energy Physics - Phenomenology (hep-ph) Classical mechanics High Energy Physics - Theory (hep-th) [PHYS.HPHE]Physics [physics]/High Energy Physics - Phenomenology [hep-ph] 0103 physical sciences Statistical physics Resummation 010306 general physics Mass gap |
| Zdroj: | Physical Review D Physical Review D, American Physical Society, 2017, 96 (11), pp.116009. ⟨10.1103/PhysRevD.96.116009⟩ |
| ISSN: | 1550-7998 1550-2368 |
| DOI: | 10.1103/PhysRevD.96.116009⟩ |
| Popis: | 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 (quasi-particle) 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. 24 pages, 10 figures. v2: some corrections in a few figures, more explanations on the difference with standard optimized perturbation or hard thermal loop resummation. One reference added. To appear in Phys. Rev. D |
| Databáze: | OpenAIRE |
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