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Yang-Mills theory in 2+1 dimensions showed to be a research area yielding firm results in theoretical physics when compared to lattice computations. Recent analysis displayed astonishing agreement for the value of the string tension and…

High Energy Physics - Phenomenology · Physics 2014-08-26 Marco Frasca

We propose a discretization of two dimensional Euclidean Yang-Mills theories with N=2 supersymmetry which preserves exactly both gauge invariance and an element of supersymmetry. The approach starts from the twisted form of the continuum…

High Energy Physics - Lattice · Physics 2008-11-26 Simon Catterall

String theory implies that field theories containing gravity are in a certain sense `products' of gauge theories. We make this product structure explicit up to two loops for the relatively simple case of N=8 supergravity four-point…

High Energy Physics - Theory · Physics 2010-11-15 Z. Bern , L. Dixon , D. C. Dunbar , M. Perelstein , J. S. Rozowsky

We revisit an old idea that gravity can be unified with Yang-Mills theory by enlarging the gauge group of gravity formulated as gauge theory. Our starting point is an action that describes a generally covariant gauge theory for a group G.…

High Energy Physics - Theory · Physics 2010-04-14 Alexander Torres-Gomez , Kirill Krasnov

The subject of this thesis are various ways to construct four-dimensional quantum field theories from string theory. In a first part we study the generation of a supersymmetric Yang-Mills theory, coupled to an adjoint chiral superfield,…

High Energy Physics - Theory · Physics 2007-05-23 Steffen Metzger

We present a first step towards generalizing the work of Seiberg and Witten on N=2 supersymmetric Yang-Mills theory to arbitrary gauge groups. Specifically, we propose a particular sequence of hyperelliptic genus $n-1$ Riemann surfaces to…

High Energy Physics - Theory · Physics 2009-10-28 A. Klemm , W. Lerche , S. Theisen , S. Yankielowicz

The free energy in the weak-coupling phase of two-dimensional Yang-Mills theory on a sphere for SO(N) and Sp(N) is evaluated in the 1/N expansion using the techniques of Gross and Matytsin. Many features of Yang-Mills theory are universal…

High Energy Physics - Theory · Physics 2009-10-30 M. Crescimanno , S. G. Naculich , H. J. Schnitzer

The extended Yang-Mills gauge theory in Euclidean space is a renormalizable (by power counting) gauge theory describing a local interacting theory of scalar, vector, and tensor gauge fields (with maximum spin 2). In this article we study…

High Energy Physics - Theory · Physics 2011-07-19 E. Gabrielli

The relationship between on-shell tree level scattering amplitudes of open and closed strings, discovered some time ago by Kawai, Lewellen and Tye, is used at field theory level (at $O(\alpha'^3)$) to establish a link between the general…

High Energy Physics - Theory · Physics 2009-11-10 N. E. J. Bjerrum-Bohr

Berenstein, Maldacena, and Nastase have proposed, as a limit of the strong form of the AdS/CFT correspondence, that string theory in a particular plane wave background is dual to a certain subset of operators in the N=4 super-Yang-Mills…

High Energy Physics - Theory · Physics 2009-11-07 David J. Gross , Andrei Mikhailov , Radu Roiban

It is known that Yang-Mills theories on non-commutative space can be derived from large-N reduced models. Gauge fields in non-commutative Yang-Mills theories can be described as fluctuations of matrices expanded about an appropriate…

High Energy Physics - Theory · Physics 2008-11-26 Takeshi Morita

Pure lattice SU(2) Yang-Mills theory in five dimensions is considered, where an extra dimension is compactified on a circle. Monte-Carlo simulations indicate that the theory possesses a continuum limit with a non-vanishing string tension if…

High Energy Physics - Phenomenology · Physics 2010-11-19 Shinji Ejiri , Jisuke Kubo , Michika Murata

We find the exact matrix model description of two dimensional Yang-Mills theories on a cylinder or on a torus and with an arbitrary compact gauge group. This matrix model is the singlet sector of a $c =1$ matrix model where the matrix field…

High Energy Physics - Theory · Physics 2015-06-26 Stefano Panzeri

We show how the Riemann surface $\Sigma$ of $N=2$ Yang-Mills field theory arises in type II string compactifications on Calabi-Yau threefolds. The relevant local geometry is given by fibrations of ALE spaces. The $3$-branes that give rise…

High Energy Physics - Theory · Physics 2014-11-18 A. Klemm , W. Lerche , P. Mayr , C. Vafa , N. Warner

Electromagnetism can be generalized to Yang-Mills theory by replacing the group U(1)$ by a nonabelian Lie group. This raises the question of whether one can similarly generalize 2-form electromagnetism to a kind of "higher-dimensional…

High Energy Physics - Theory · Physics 2007-05-23 John C. Baez

Quantum Yang-Mills theory and the Wilson loop can be rewritten identically in terms of local gauge-invariant variables being directly related to the metric of the dual space. In this formulation, one reveals a hidden high local symmetry of…

High Energy Physics - Theory · Physics 2017-08-23 Dmitri Diakonov

We propose a generalization of Yang-Mills theory for which the symmetry algebra does not have to be factorized as mutually commuting algebras of a finite-dimensional Lie algebra and the algebra of functions on base space. The algebra of…

High Energy Physics - Theory · Physics 2016-03-02 Pei-Ming Ho

A four-dimensional analog of Chern-Simons theory produces integrable lattice models from Wilson lines and surface operators. We show that this theory describes a quasi-topological sector of maximally supersymmetric Yang-Mills theory in six…

High Energy Physics - Theory · Physics 2021-09-30 Kevin Costello , Junya Yagi

We review the application of bosonic string techniques to the calculation of renormalization constants and effective actions in Yang-Mills theory. We display the multiloop string formulas needed to compute Yang-Mills amplitudes, and we…

High Energy Physics - Theory · Physics 2009-10-30 Paolo Di Vecchia , Alberto Lerda , Lorenzo Magnea , Raffaele Marotta , Rodolfo Russo

We construct a lattice formulation of a mass-deformed two-dimensional N=(8,8) super Yang-Mills theory with preserving two supercharges exactly. Gauge fields are represented by compact unitary link variables, and the exact supercharges on…

High Energy Physics - Lattice · Physics 2015-03-17 Masanori Hanada , So Matsuura , Fumihiko Sugino
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