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Recently, Dvali, Gomez, and Mukhanov have investigated a classical lambda phi^4 model with external source and without mass and they have clarified that there are underlying renormalization group structure, including the phenomenon of the…

High Energy Physics - Theory · Physics 2012-11-27 Hiroshi Yoda , Shin'ichi Nojiri

We investigate (1+1)-dimensional $\phi^4$ field theory in the symmetric and broken phases using discrete light-front quantization. We calculate the perturbative solution of the zero-mode constraint equation for both the symmetric and broken…

High Energy Physics - Theory · Physics 2009-10-28 John Hiller , Steve Pinsky , Brett van de Sande

In three dimensional Maxwell-Chern-Simons massless scalar electrodynamics with $ \phi^6$ coupling, the $U(1)$ symmetry is spontaneously broken at two loop order regardless of the presence or absence of the Maxwell term. Dimensional…

High Energy Physics - Theory · Physics 2015-06-26 Pang-Ning Tan , Bayram Tekin , Yutaka Hosotani

The renormalization group method is applied to the three-loop effective potential of the massive $\phi^4$ theory in the $\bar{\rm MS}$ scheme in order to obtain the next-next-next-to-leading logarithm resummation. For this, we exploit…

High Energy Physics - Theory · Physics 2008-11-26 J. -M. Chung , B. K. Chung

Branchina et al and Consoli have recently shown that the one-loop effective potential (1LEP) of massless lambda-phi**4 theory can be renormalized in two distinct ways. One of these is the conventional renormalization of Coleman and…

High Energy Physics - Phenomenology · Physics 2009-10-22 R. Ibanez-Meier , P. M. Stevenson

The lack of deviations from the Standard Model at the current level of experimental precision can be explained systematically in suitable models of dynamical electro-weak symmetry breaking. The key ingredient is dynamics which produces a…

High Energy Physics - Phenomenology · Physics 2016-09-06 M. Lindner

We study the effect of one-loop corrections from nucleon together with those from boson in the massless chiral sigma model, where we perform the Coleman-Weinberg renormalization procedure. This renormalization procedure has a mechanism of…

Nuclear Theory · Physics 2007-05-23 Setsuo Tamenaga , Hiroshi Toki , Akihiro Haga , Yoko Ogawa

We calculate the explicit expression of the effective potential in a $\lambda\phi^4$ theory at finite temperature in a static universe for arbitrary spacetime dimensions (2\leq D < 5). To study the combined effects of the temperature and…

High Energy Physics - Phenomenology · Physics 2007-05-23 T. Hattori , M. Hayashi , T. Inagaki , Y. Kitadono

It is shown that the four dimensional antiferromagnetic lattice phi4 model has the usual non-asymptotically free scaling law in the UV regime around the chiral symmetrical critical point. The theory describes a scalar and a pseudoscalar…

High Energy Physics - Theory · Physics 2009-10-30 V. Branchina , H. Mohrbach , J. Polonyi

The simplest non commutative renormalizable field theory, the $\phi_4^4$ model on four dimensional Moyal space with harmonic potential is asymptotically safe at one loop, as shown by H. Grosse and R. Wulkenhaar. We extend this result up to…

High Energy Physics - Theory · Physics 2008-11-26 Margherita Disertori , Vincent Rivasseau

In an effort to understand the physical implications of the newly discovered non-trivial directions in scalar field theory, we compute lowest order scattering amplitudes, cross sections, and the 1-loop effective potential. To lowest order,…

High Energy Physics - Theory · Physics 2016-08-25 Kenneth Halpern

We consider the 2PI Cornwall-Jackiw-Tomboulis effective action at finite temperature for a noncommutative real scalar field theory in 4 dimensions, with noncommutativity among space and time variables. By means of a Rayleig-Ritz variation,…

High Energy Physics - Theory · Physics 2013-06-12 J. M. Hernández , C. Ramírez , M. Sánchez

We investigate a perturbative N=4 sector coupled to the MSSM and show that it allows for a stable vacuum correctly breaking the electroweak symmetry. The particle spectrum of the MSSM is enrichened by several new particles stemming out from…

High Energy Physics - Phenomenology · Physics 2015-05-19 Matti Antola , Stefano Di Chiara , Francesco Sannino , Kimmo Tuominen

There exists a freedom in a class of four-dimensional electroweak theories proposed by Arkani-Hamed et al. relying on deconstruction and Coleman-Weinberg mechanism. The freedom comes from the winding modes of the link variable (Wilson…

High Energy Physics - Theory · Physics 2009-09-17 Shin'ichi Nojiri , Sergei D. Odintsov , Akio Sugamoto

The Maxwell-Chern-Simons gauge theory with charged scalar fields is analyzed at two loop level. The effective potential for the scalar fields is derived in the closed form, and studied both analytically and numerically. It is shown that the…

High Energy Physics - Theory · Physics 2009-10-30 Pang-Ning Tan , Bayram Tekin , Yutaka Hosotani

Does massless (lambda Phi^4)_4 theory exhibit spontaneous symmetry breaking (SSB)? The raw 1-loop result implies that it does, but the "RG-improved" result implies the opposite. I argue that the appropriate "low-energy effective theory" is…

High Energy Physics - Phenomenology · Physics 2016-07-01 P. M. Stevenson

We study the dynamical symmetry breaking in the gauge-Higgs unification of the 5D ${\mathcal N}=1$ SUSY theory, compactified on an orbifold, $S^1/Z_2$. This theory identifies Wilson line degrees of freedoms as ``Higgs doublets''. We…

High Energy Physics - Phenomenology · Physics 2010-11-19 Naoyuki Haba , Toshifumi Yamashita

We apply the quartic exponential variational approximation to the symmetry breaking phenomena of scalar field in three and four dimensions. We calculate effective potential and effective action for the time-dependent system by separating…

High Energy Physics - Theory · Physics 2009-11-10 Hyeong-Chan Kim , Jae Hyung Yee

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…

High Energy Physics - Theory · Physics 2014-11-18 Ken-Ichi Aoki , Keiichi Morikawa , Jun-Ichi Sumi , Haruhiko Terao , Masashi Tomoyose

We argue that massless (lambda Phi^4)_4 is "trivial" without being entirely trivial. It has a non-trivial effective potential which leads to spontaneous symmetry breaking, but the particle excitations above the broken vacuum are…

High Energy Physics - Phenomenology · Physics 2008-02-03 M. Consoli , P. M. Stevenson