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We calculate the Kahlerian and the lowest order non-Kahlerian contributions to the one loop effective superpotential using super-Feynman graphs in the massless Wess-Zumino Model, the massive Wess-Zumino Model and N=1, U(1) gauge theory. We…

High Energy Physics - Theory · Physics 2009-10-30 Austin Pickering , Peter West

The fermion loop formulation naturally separates partition functions into their canonical sectors. Here we discuss various strategies to make use of this for supersymmetric SU(N) Yang-Mills quantum mechanics obtained from dimensional…

High Energy Physics - Lattice · Physics 2015-09-07 Georg Bergner , Hang Liu , Urs Wenger

The derivative expansion of the one-loop effective Lagrangian in QED$_4$ is considered. The first term in such an expansion is the famous Schwinger result for a constant electromagnetic field. In this paper we give an explicit expression…

High Energy Physics - Phenomenology · Physics 2015-06-25 V. P. Gusynin , I. A. Shovkovy

$Q\bar{Q}$ potential is studied in the SU(2) gauge theory. Based on the nonlinear gauge of the Curci-Ferrari type, the possibility of a gluon condensation $\langle A_{\mu}^+A_{\mu}^-\rangle$ in low-energy region has been considered at the…

High Energy Physics - Phenomenology · Physics 2021-03-10 Hirohumi Sawayanagi

We explore the effects of a heavy fermion doublet in a simplified version of the standard electroweak theory. We integrate out the doublet and compute the exact effective energy functional of spatially varying gauge and Higgs fields. We…

High Energy Physics - Theory · Physics 2009-11-10 E. Farhi , N. Graham , R. L. Jaffe , V. Khemani , H. Weigel

As a first step towards a strong coupling expansion of Yang-Mills theory, the SU(2) Yang-Mills quantum mechanics of spatially constant gauge fields is investigated in the symmetric gauge, with the six physical fields represented in terms of…

High Energy Physics - Theory · Physics 2008-11-26 H. -P. Pavel

This article reports an explicit function form for confining classical Yang-Mills vector potentials and quantum fluctuations around the classical field. The classical vector potential, which is composed of a confining localized function and…

High Energy Physics - Theory · Physics 2014-11-04 Kimichika Fukushima , Hikaru Sato

Phase and modulus of an energy- and pressure-free, composite and adjoint field in an SU(2) Yang-Mills theory are computed. This field is generated by trivial holonomy calorons of topological charge one. It possesses nontrivial $S_1$-winding…

High Energy Physics - Theory · Physics 2007-05-23 Ulrich Herbst

We consider noncommutative analogs of scalar electrodynamics and N=2 D=4 SUSY Yang-Mills theory. We show that one-loop renormalizability of noncommutative scalar electrodynamics requires the scalar potential to be an anticommutator squared.…

High Energy Physics - Theory · Physics 2009-10-31 I. Ya. Aref'eva , D. M. Belov , A. S. Koshelev , O. A. Rytchkov

It is shown for a class of random, time-independent, square-integrable, three-dimensional magnetic fields that the one-loop effective fermion action of four-dimensional QED increases faster than a quadratic in B in the strong coupling…

High Energy Physics - Theory · Physics 2015-05-30 M. P. Fry

Via supersymmetry argument, we determine the effective action of the SU(2) supersymmetric Yang-Mills quantum mechanics up to two constants, which results from the full supersymmetric completion of the F^4 term. The effective action,…

High Energy Physics - Theory · Physics 2009-10-31 Seungjoon Hyun , Youngjai Kiem , Hyeonjoon Shin

We present the full calculation of the divergent one-loop contribution to the effective boson Lagrangian for supergravity, including the Yang-Mills sector and the helicity-odd operators that arise from integration over fermion fields. The…

High Energy Physics - Theory · Physics 2016-08-24 Mary K. Gaillard , Vidyut Jain , Kamran Saririan

We derive the fermion loop formulation of N=4 supersymmetric SU(N) Yang-Mills quantum mechanics on the lattice. The loop formulation naturally separates the contributions to the partition function into its bosonic and fermionic parts with…

High Energy Physics - Lattice · Physics 2015-06-23 Kyle Steinhauer , Urs Wenger

We consider a higher derivative effective theory for an Abelian gauge field in three dimensions, which represents the result of integrating out heavy matter fields interacting with a classical gauge field in a parity-conserving way. We…

High Energy Physics - Theory · Physics 2009-10-30 I. J. R. Aitchison , C. D. Fosco , F. D. Mazzitelli

For semisimple groups, possibly multiplied by U(1)'s, the number of Yang-Mills gauge fields is equal to the number of generators of the group. In this paper, it is shown that, for non-semisimple groups, the number of Yang-Mills fields can…

High Energy Physics - Theory · Physics 2009-11-07 Jean Nuyts , Tai Tsun Wu

We analyze the divergent part of the one-loop effective action for the noncommutative SU(2) gauge theory coupled to the fermions in the fundamental representation. We show that the divergencies in the 2-point and the 3-point functions in…

High Energy Physics - Theory · Physics 2009-11-10 Maja Buric , Voja Radovanovic

The one-loop effective action for the scalar field part of a non-Abelian gauge theory based on a general gauge group of the form $G\times U(1)$, where the gauge group $G$ is arbitrary, is calculated. A complex scalar field, both Abelian and…

High Energy Physics - Theory · Physics 2019-06-07 David J. Toms

We investigate the classical dynamics of the massive SU(2) Yang-Mills field in the framework of multiple scale perturbation theory. We show analytically that there exists a subset of solutions having the form of a kink soliton, modulated by…

High Energy Physics - Theory · Physics 2013-07-01 X. N. Maintas , C. E. Tsagkarakis , F. K. Diakonos , D. J. Frantzeskakis

We show that there are one-loop IR singularities arising from UV/IR mixing in noncommutative SU(N) Yang-Mills theory defined by means of the $\theta$-exact Seiberg-Witten map. This is in spite of the fact that there are no ordinary U(1)…

High Energy Physics - Theory · Physics 2021-10-08 Carmelo P. Martin , Josip Trampetić , Jiangyang You

We examine the effect of one loop quantum corrections on the formation of nontopological solitons in a strongly coupled scalar-fermionic Yukawa theory. The exact one fermion loop contribution is incorporated by using a nonlocal method to…

High Energy Physics - Phenomenology · Physics 2008-11-26 Iain W. Stewart , Peter G. Blunden