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I review some older work on the effective potentials of quantum field theories, in particular the use of anomalous symmetries to constrain the form of the effective potential, and the background field method for evaluating it…

High Energy Physics - Theory · Physics 2007-05-23 Kristian D. Kennaway

The beta function of the vacuum energy density is analytically computed at the five-loop level in O(N)-symmetric phi^4 theory, using dimensional regularization in conjunction with the MSbar scheme. The result for the case of a cubic…

High Energy Physics - Phenomenology · Physics 2007-05-23 Boris Kastening

We have considered phi^4 theory in higher dimensions. Using functional diagrammatic approach, we computed the one-loop correction to effective potential of the scalar field in five dimensions. It is shown that phi^4 theory can be…

High Energy Physics - Theory · Physics 2008-11-26 Rizwan Ul Haq Ansari , P K Suresh

We consider the one-loop effective potential at zero temperature in field theories with anisotropic space-time scaling, with critical exponent $z=3$, including scalar, fermion and gauge fields. The fermion determinant generates a symmetry…

High Energy Physics - Theory · Physics 2015-06-04 K. Farakos

We present a diagrammatic formulation of recently-revived covariant functional approaches to one-loop matching from an ultraviolet (UV) theory to a low-energy effective field theory. Various terms following from a covariant derivative…

High Energy Physics - Phenomenology · Physics 2017-09-13 Zhengkang Zhang

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…

High Energy Physics - Lattice · Physics 2010-03-04 A. Ardekani , A. G. Williams

The study of effective potential for the scalar Lee-Wick pseudo-electrodynamics in one-loop is presented in this letter. The planar and non-local Lee-Wick pseudo-electrodynamics is so coupled to a complex scalar field sector in 1+2…

High Energy Physics - Theory · Physics 2025-08-26 M. J. Neves

Using the superfield formalism, we propose a non-local extension of the supersymmetric gauge theory coupled to massless chiral matter. Two different non-local models are considered. For these models, we explicitly calculate the one-loop…

High Energy Physics - Theory · Physics 2017-11-15 F. S. Gama , J. R. Nascimento , A. Yu. Petrov , P. J. Porfirio

We compute numerically the effective potential for the $(\lambda \Phi^4)_4$ theory on the lattice. Three different methods were used to determine the critical bare mass for the chosen bare coupling value. Two different methods for obtaining…

High Energy Physics - Lattice · Physics 2009-10-30 A. Agodi , G. Andronico , P. Cea , M. Consoli , L. Cosmai

In this article, we calculate the electromagnetic form-factor of the $\pi$ meson with the light-cone QCD sum rules. The numerical value $F_\pi^{p}(0) =0.999\pm 0.001$ is in excellent agreement with the experimental data (extrapolated to the…

High Energy Physics - Phenomenology · Physics 2008-12-18 Zhi-Gang Wang , Zhi-Bin Wang

We calculate the effective potential for the vacuum gauge field from the one-loop matter effect in $M_3\times S^3\times S^1$ space-time. This background geometry is motivated from the recent studies on gauged supergravities with a…

High Energy Physics - Theory · Physics 2009-11-10 Yoshinori Cho , Kiyoshi Shiraishi

Within the effective average action approach to quantum gravity, we recover the low energy effective action as derived in the effective field theory framework, by studying the flow of possibly non-local form factors that appear in the…

High Energy Physics - Theory · Physics 2014-11-21 A. Satz , A. Codello , F. D. Mazzitelli

In this paper we study the hard-thermal-loop effective theory at next-to-leading order. Standard power-counting predicts that a large number of diagrams, including 2-loop diagrams, may need to be calculated. In all of the calculations that…

High Energy Physics - Phenomenology · Physics 2015-06-15 A. Mirza , M. E. Carrington

We calculate the 1-loop effective potential in a supersymmetric model in 5D with $S^1/(Z_2\times Z_2)$ orbifold compactification. The procedure of calculation consists of evaluating first the integrals over four-momenta using the…

High Energy Physics - Theory · Physics 2010-11-19 Vicente Di Clemente , Yuri A. Kubyshin

We consider the one-loop five-graviton amplitude in type II string theory calculated in the light-cone gauge. Although it is not possible to explicitly evaluate the integrals over the positions of the vertex operators, a low-energy…

High Energy Physics - Theory · Physics 2009-03-01 David M. Richards

The non-perturbative ultraviolet divergence of the sine-Gordon model is used to study the $k^+ = 0$ region of light-cone perturbation theory. The light-cone vacuum is shown to be unstable at the non-perturbative $\beta^2 = 8\pi$ critical…

High Energy Physics - Theory · Physics 2009-10-22 Paul A. Griffin

Light-cone quantization of gauge field theory is considered. With a careful treatment of the relevant degrees of freedom and where they must be initialized, the results obtained in equal-time quantization are recovered, in particular the…

High Energy Physics - Theory · Physics 2010-11-01 Gary McCartor , David G. Robertson

From the Euler-Heisenberg formula we calculate the exact real part of the one-loop effective Lagrangian of Quantum Electrodynamics in a constant electromagnetic field, and determine its strong-field limit.

High Energy Physics - Theory · Physics 2008-11-26 Remo Ruffini , She-Sheng Xue

The light-front quantization of gauge theories in light-cone gauge provides a frame-independent wavefunction representation of relativistic bound states, simple forms for current matrix elements, explicit unitary, and a trivial vacuum. The…

High Energy Physics - Theory · Physics 2015-06-26 Stanley J. Brodsky

We calculate the one loop effective potential for a 5D SU(2) gauge field theory at finite temperature $T=1/\beta$ and radius R=1/M. This calculation is performed, for the first time, in the case of background fields with two constant…

High Energy Physics - Phenomenology · Physics 2009-11-10 K. Farakos , P. Pasipoularides
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