NLO critical exponents of O($N$) lambda ${\varphi }^4$ scalar field theories in curved spacetime

Abstract

In this paper we investigate analytically the conformal symmetry influence on the next-to-leading order radiative quantum corrections to critical exponents for massless O($N$) $\lambda {\varphi }^4$ scalar field theories in curved spacetime. We renormalize the theory by applying the BPHZ method. We find that the critical exponents are the same as that of flat spacetime, at least at the loop order considered. We argue that this result agrees perfectly with the universality hypothesis.

arXiv comment12 pages, 16 figures

References in corpus (12)

• Critical Phenomena and Renormalization-Group Theory
• Effective Action of Vacuum: Semiclassical Approach
• O(N)-Universality Classes and the Mermin-Wagner Theorem
• Universality Class of $O(N)$ Models
• The critical equation of state of the three-dimensional O(N) universality class: N>4
• On the universality class of the Mott transition in two dimensions
• Universality class of replica symmetry breaking, scaling behavior, and the low-temperature fixed-point order function of the Sherrington-Kirkpatrick model
• Exact Lorentz-violating all-loop ultraviolet divergences in scalar field theories
• Finite-size-scaling analysis of the XY universality class between two and three dimensions: An application of Novotny's transfer-matrix method
• 2D Superconductivity: Classification of Universality Classes by Infinite Symmetry
• Critical properties of scalar field theory with Lorentz violation: Exact treatment of Lorentz-violating mechanism
• Asymptotic single-particle states and exact Lorentz-violating all-loop quantum corrections for scalar field theory