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The renormalization of effective potential for the noncommutative scalar field theory is investigated to the two-loop approximation. It is seen that the nonplanar diagram does not appear in the one-loop potential. However, nonplanar diagram…

高能物理 - 理论 · 物理学 2009-10-31 Wung-Hong Huang

Perturbation theory, as well as most thermal field resummation methods widely used to study finite-temperature quantum field theories, presents a non-negligible renormalization scale dependence. To address this limitation, we propose an…

高能物理 - 唯象学 · 物理学 2026-05-11 Lucas G. Câmara , Marcus Benghi Pinto , Rudnei O. Ramos

The truncation scheme dependence of the exact renormalization group equations is investigated for scalar field theories in three dimensions. The exponents are numerically estimated to the next-to-leading order of the derivative expansion.…

高能物理 - 理论 · 物理学 2009-10-31 Ken-Ichi Aoki , Keiichi Morikawa , Wataru Souma , Jun-Ichi Sumi , Haruhiko Terao

The dynamical breaking of gauge symmetry in the supersymmetric quantum electrodynamics in three-dimensional spacetime is studied at two-loop approximation. At this level, the effective superpotential is evaluated in a supersymmetric phase.…

高能物理 - 理论 · 物理学 2009-01-21 A. C. Lehum

Recently, evidence was provided for the existence of an $a$-function for renormalisable quantum field theories in three dimensions. An explicit expression was given at lowest order for general theories involving scalars and fermions, and…

高能物理 - 理论 · 物理学 2017-01-25 I. Jack , C. Poole

We study Monte Carlo calculations of the effective potential for a scalar field theory using three techniques. One of these is a new method proposed and tested for the first time. In each case we extract the renormalised quantities of the…

高能物理 - 格点 · 物理学 2010-03-04 A. Ardekani , A. G. Williams

I compute the two-loop effective potential in the Landau gauge for a general renormalizable field theory in four dimensions. Results are presented for the \bar{MS} renormalization scheme based on dimensional regularization, and for the…

高能物理 - 唯象学 · 物理学 2009-11-07 Stephen P. Martin

We consider the quantum loop effects in scalar electrodynamics on de Sitter space by making use of the functional renormalization group approach. We first integrate out the photon field, which can be done exactly to leading (zeroth) order…

广义相对论与量子宇宙学 · 物理学 2016-11-24 Francisco Fabián González , Tomislav Prokopec

We studied the Dynamical Symmetry Breaking (DSB) mechanism in a supersymmetric Chern-Simons theory in $\left(2+1\right)$ dimensions coupled to $N$ matter superfields in the superfield formalism. For this purpose, we developed a mechanism to…

高能物理 - 理论 · 物理学 2017-01-06 A. G. Quinto

We study the vacuum stability of a model of massless scalar and fermionic fields minimally coupled to a Chern-Simons field. The classical Lagrangian only involves dimensionless parameters, and the model can be thought as a (2+1) dimensional…

高能物理 - 理论 · 物理学 2009-11-10 Alex G. Dias , M. Gomes , A. J. da Silva

We study three dimensional conformal field theories described by U(N) Chern-Simons theory at level k coupled to massless fermions in the fundamental representation. By solving a Schwinger-Dyson equation in lightcone gauge, we compute the…

高能物理 - 理论 · 物理学 2015-05-30 Simone Giombi , Shiraz Minwalla , Shiroman Prakash , Sandip P. Trivedi , Spenta R. Wadia , Xi Yin

The structure of the renormalization group equations for the low energy effective theory of gravity coupled to a scalar field is presented. An approximate solution to these equations with a finite number of independent renormalized…

高能物理 - 唯象学 · 物理学 2009-10-28 Mario Atance , José Luis Cortés

We extend to all orders in perturbation theory a method to calculate supersymmetry-breaking effects by analytic continuation of the renormalization group into superspace. A central observation is that the renormalized gauge coupling can be…

高能物理 - 唯象学 · 物理学 2009-10-31 N. Arkani-Hamed , G. F. Giudice , M. A. Luty , R. Rattazzi

We study symmetry reductions in the context of Euclidean Chern-Simons gauge theories to obtain lower dimensional field theories. Symmetry reduction in certain gauge theories is a common tool for obtaining explicit soliton solutions.…

高能物理 - 理论 · 物理学 2024-07-30 Burak Oğuz , Bayram Tekin

We study symmetry reductions in the context of Euclidean Chern-Simons gauge theories to obtain lower dimensional field theories. Symmetry reduction in certain gauge theories is a common tool for obtaining explicit soliton solutions.…

高能物理 - 理论 · 物理学 2024-10-30 Burak Oğuz , Bayram Tekin

The critical dynamics of the chiral symmetry breaking induced by gauge interaction is examined in the Wilson renormalization group framework in comparison with the Schwinger-Dyson approach. We derive the beta functions for the four-fermi…

高能物理 - 理论 · 物理学 2014-11-18 Ken-Ichi Aoki , Keiichi Morikawa , Jun-Ichi Sumi , Haruhiko Terao , Masashi Tomoyose

We reexamine the dynamical generation of mass for fermions charged under various Lie groups with equal charge and mass at a high Grand Unification scale, extending the Renormalization Group Equations in the perturbative regime to two-loops…

高能物理 - 唯象学 · 物理学 2019-05-22 Felipe J. Llanes-Estrada , Alexandre Salas-Bernárdez

Non-abelian Chern-Simons theories coupled to fermions are known to provide an interesting class of non-supersymmetric conformal fixed points \cite{Giombi:2011kc}. These theories, particularly those based on bifundamental matter, are…

高能物理 - 理论 · 物理学 2017-10-30 V. Gurucharan , Shiroman Prakash

The renormalization group method is employed to study the effective potential in curved spacetime with torsion. The renormalization-group improved effective potential corresponding to a massless gauge theory in such a spacetime is found and…

高能物理 - 理论 · 物理学 2009-09-17 A. A. Bytsenko , E. Elizalde , S. D. Odintsov

The effective potential has been previously calculated through three-loop order, in Landau gauge, for a general renormalizable theory using dimensional regularization. However, dimensional regularization is not appropriate for softly broken…

高能物理 - 唯象学 · 物理学 2023-12-01 Stephen P. Martin