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The possible local counterterms to supergravity are investigated to all loop orders. Supersymmetry implies that (1) supergravity-matter coupling is one-loop nonrenormalizable, with a specific counterterm; (2) pure supergravity is…

高能物理 - 理论 · 物理学 2015-06-12 S. Deser , J. H. Kay , K. S. Stelle

We study the low-energy dynamics of noncommutative $\N=2$ supersymmetric U(N) Yang-Mills theories in the Coulomb phase. Exact results are derived for the leading terms in the derivative expansion of the Wilsonian effective action. We find…

高能物理 - 理论 · 物理学 2010-02-03 Timothy J. Hollowood , Valentin V. Khoze , Gabriele Travaglini

We study the SO(4)x SU(2) invariant Q-deformation of Euclidean N=(1,1) gauge theories in the harmonic superspace formulation. This deformation preserves chirality and Grassmann harmonic analyticity but breaks N=(1,1) to N=(1,0)…

高能物理 - 理论 · 物理学 2010-04-05 S. Ferrara , E. Ivanov , O. Lechtenfeld , E. Sokatchev , B. Zupnik

We study the superspace formulation of the noncommutative nonlinear supersymmetric O(N) invariant sigma-model in 2+1 dimensions. We prove that the model is renormalizable to all orders of 1/N and explicitly verify that the model is…

高能物理 - 理论 · 物理学 2009-11-07 H. O. Girotti , M. Gomes , A. Yu. Petrov , V. O. Rivelles , A. J. da Silva

Classically, the dual under the Seiberg-Witten map of noncommutative U(N), {\cal N}=1 super Yang-Mills theory is a field theory with ordinary gauge symmetry whose fields carry, however, a \theta-deformed nonlinear realisation of the {\cal…

高能物理 - 理论 · 物理学 2013-05-16 C. P. Martin , C. Tamarit

We give the supergravity duals of commutative and noncommutative non-abelian gauge theories with N=2 in 2+1 dimensions. The moduli space on the Coulomb branch of these theories is studied using supergravity.

高能物理 - 理论 · 物理学 2009-11-07 Jan Brugues , Joaquim Gomis , Toni Mateos , Toni Ramirez

This paper focuses on extending our previous discussion of an Abelian U(1) gauge theory involving infinite derivatives to a non-Abelian SU(N) case. The renormalization group equation (RGEs) of the SU(N) gauge coupling is calculated and…

高能物理 - 唯象学 · 物理学 2021-07-07 Anish Ghoshal , Anupam Mazumdar , Nobuchika Okada , Desmond Villalba

The renormalization of $\mathcal{N}=1$ Super Yang-Mills theory with the presence of the local composite operators $AA$, $A_\mu \gamma_\mu \lambda$ and $\bar{\lambda}\lambda$ is analyzed in the Wess-Zumino gauge, employing the Landau…

高能物理 - 理论 · 物理学 2018-06-11 R. C. Terin , M. A. L. Capri , S. P. Sorella , H. C. Toledo

We prove that $\be$-function of the gauge coupling in $2+1D$ gauge theory coupled to any renormalizable system of spinor and scalar fields is zero. This result holds both when the gauge field action is the Chern-Simons action and when it is…

高能物理 - 理论 · 物理学 2015-06-26 A. N. Kapustin , P. I. Pronin

Parent actions for component fields are utilized to derive the dual of supersymmetric U(1) gauge theory in 4 dimensions. Generalization of the Seiberg-Witten map to the component fields of noncommutative supersymmetric U(1) gauge theory is…

高能物理 - 理论 · 物理学 2009-11-10 O. F. Dayi , K. Ulker , B. Yapiskan

The consistency of Matrix theory with supergravity requires that in the large N_c limit terms of order v^4 in the SU(N_c) Matrix effective potential are not renormalized beyond one loop in perturbation theory. For SU(2) gauge group, the…

高能物理 - 理论 · 物理学 2010-02-03 David A. Lowe

We give necessary criteria for N=1 supersymmetric theories to be in a smoothly confining phase without chiral symmetry breaking and with a dynamically generated superpotential. Using our general arguments we find all such confining SU and…

高能物理 - 理论 · 物理学 2016-09-06 Csaba Csaki , Martin Schmaltz , Witold Skiba

It is well known that in low energy supersymmetry the ratio of the gaugino mass to the gauge coupling squared, M/alpha, is renormalization group invariant to one-loop. We present a systematic analysis of the corrections to this ratio,…

高能物理 - 唯象学 · 物理学 2009-10-31 Graham D. Kribs

We study asymptotically free SU($N_c$) gauge theories with ${\cal N}=1$ supersymmetry, including the purely gluonic theory and theories with $N_f$ copies of a pair of massless chiral superfields in the respective representations $R$ and…

高能物理 - 理论 · 物理学 2016-03-24 Gongjun Choi , Robert Shrock

Gauge theories are formulated on the noncommutative two-sphere. These theories have only finite number of degrees of freedom, nevertheless they exhibit both the gauge symmetry and the SU(2) "Poincar\'e" symmetry of the sphere. In…

高能物理 - 理论 · 物理学 2009-10-30 C. Klimcik

We analyze the low energy behavior of N=1 supersymmetric gauge theories with SU(N_c) x SU(N_c) gauge group and a Landau-Ginzburg type superpotential. These theories contain fundamentals transforming under one of the gauge groups as well as…

高能物理 - 理论 · 物理学 2016-08-25 Martin Gremm

We study the stringy description of N=1 supersymmetric SU(N) gauge theory on R^{1,2}xS^1. Our description is based on the known Maldacena-Nunez solution, properly modified to account for the compact dimension. The most interesting of its…

高能物理 - 理论 · 物理学 2015-05-13 Felipe Canoura

We discover the origin of the pathologies of the disorder parameter used in previous papers to detect dual superconductivity of QCD vacuum, and we remove them by defining an improved disorder parameter. A check of the approach is made by…

高能物理 - 格点 · 物理学 2012-03-06 Claudio Bonati , Guido Cossu , Massimo D'Elia , Adriano Di Giacomo

We calculate quantum averages of Wilson loops (holonomies) in gauge theories on the Euclidean noncommutative plane, using a path-integral representation of the star-product. We show how the perturbative expansion emerges from a concise…

高能物理 - 理论 · 物理学 2009-11-10 J. Ambjorn , A. Dubin , Y. Makeenko

We propose a mechanism for the spontaneous (gauge-invariant) reduction of noncommutative ${\cal U}(n)$ gauge theories down to SU(n). This can be achieved through the condensation of composite ${\cal U}(n)$ gauge invariant fields that…

高能物理 - 理论 · 物理学 2016-09-06 Masud Chaichian , Archil Kobakhidze , Anca Tureanu