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We study the massive Yang-Mills theory in which the mass term is added by hand. The standard perturbative approach suggests that the massless limit of this theory is not smooth. We confirm that this issue is related to the existence of…

High Energy Physics - Theory · Physics 2022-04-13 Anamaria Hell

In the presence of Chern-Simons interactions the wave functionals of physical states in 2+1-dimensional gauge theories vanish at anumber of nodal points. We show that those nodes are located at some classical configurations which carry a…

High Energy Physics - Theory · Physics 2009-10-28 M. Asorey , F. Falceto , J. L. Lopez , G. Luzon

We present the description in central charge superspace of N=4 supergravity with antisymmetric tensor coupled to an arbitrary number of abelian vector multiplets. All the gauge vectors of the coupled system are treated on the same footing…

High Energy Physics - Theory · Physics 2009-11-10 Sebastien Gurrieri , Annamaria Kiss

We investigate non-linear generalization of Maxwell theory of electromagnetic field keeping the gauge invariance of Lagrangian. New theory, which is standard Yang-Mills theory, is based on Harmonic Oscillator HO(4,R) gauge group. It's a…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Arthur M. Aslanyan

In this work we use constructs from the dual space of the semi-direct product of the Virasoro algebra and the affine Lie algebra of a circle to write a theory of gravitation which is a natural analogue of Yang-Mills theory. The theory…

High Energy Physics - Theory · Physics 2009-10-30 Thomas Branson , R. P. Lano , V. G. J. Rodgers

In generalized Yang-Mills theories scalar fields can be gauged just as vector fields in a usual Yang-Mills theory, albeit it is done in the spinorial representation. The presentation of these theories is aesthetic in the following sense: A…

High Energy Physics - Theory · Physics 2007-05-23 M. Chaves

In this paper we study wrapped brane configurations that give rise to three dimensional pure Yang-Mills theory with eight supercharges. The corresponding supergravity solution is singular and it was conjectured that the singularity is…

High Energy Physics - Theory · Physics 2010-04-05 Martijn Wijnholt , Slava Zhukov

We discuss within the weak-field approximation and the derivative expansion how the area law of the Wilson loop follows directly from the vacuum condensate of mass dimension 2, i.e., simultaneous Bose-Einstein condensation of gluon pair and…

High Energy Physics - Theory · Physics 2007-05-23 K. -I. Kondo , T. Imai

A loop space formulation of Yang-Mills theory high-lighting the significance of monopoles for the existence of gauge potentials is used to derive a generalization of electric-magnetic duality to the nonabelian theory. The result implies…

High Energy Physics - Theory · Physics 2009-10-31 HM Chan , ST Tsou

We extend our earlier work on anomalies in the space of coupling constants to four-dimensional gauge theories. Pure Yang-Mills theory (without matter) with a simple and simply connected gauge group has a mixed anomaly between its one-form…

High Energy Physics - Theory · Physics 2020-01-08 Clay Cordova , Daniel S. Freed , Ho Tat Lam , Nathan Seiberg

We establish a precise correspondence between the ABC Conjecture and N=4 super-Yang-Mills theory. This is achieved by combining three ingredients: (i) Elkies' method of mapping ABC-triples to elliptic curves in his demonstration that ABC…

High Energy Physics - Theory · Physics 2017-09-06 Yang-Hui He , Zhi Hu , Malte Probst , James Read

In a consistent heterotic string theory, the Kalb-Ramond field, which is the source of spacetime torsion, is augmented by Yang-Mills and gravitational Chern-Simons terms. When compactified to 4-dimensions and in the field theory limit, such…

High Energy Physics - Theory · Physics 2011-05-25 Srijit Bhattacharjee , Ayan Chatterjee

We identify a non-local symmetry for Yang-Mills theories in 1+1 and 2+1 spacetime dimensions. The symmetry mixes a vector current with the gauge field. The current involved in the symmetry is required to satisfy certain constraints. The…

High Energy Physics - Theory · Physics 2015-06-03 Abhishek Agarwal , Ansar Fayyazuddin

We characterise the quantum group gauge symmetries underlying q-deformations of two-dimensional Yang-Mills theory by studying their relationships with the matrix models that appear in Chern-Simons theory and six-dimensional N=2 gauge…

High Energy Physics - Theory · Physics 2015-06-15 Richard J. Szabo , Miguel Tierz

Pure Yang-Mills theories on the $S_1\times R$ cylinder are quantized in light-cone gauge $A_-=0$ by means of ${\bf equal-time}$ commutation relations. Positive and negative frequency components are excluded from the ``physical" Hilbert…

High Energy Physics - Theory · Physics 2007-05-23 A. Bassetto , L. Griguolo , G. Nardelli

We show that two-dimensional SO(N) and Sp(N) Yang-Mills theories without fermions can be interpreted as closed string theories. The terms in the 1/N expansion of the partition function on an orientable or nonorientable manifold M can be…

High Energy Physics - Theory · Physics 2010-11-01 S. G. Naculich , H. A. Riggs , H. J. Schnitzer

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

Centre-stabilised $SU(N)$ Yang-Mills theories on $\mathbb{R}^3 \times S^1$ are QCD-like theories that can be engineered to remain weakly-coupled at all energy scales by taking the $S^1$ circle length $L$ to be sufficiently small. In this…

High Energy Physics - Theory · Physics 2023-03-27 John Lai

We give a new way of looking at the Cho--Faddeev--Niemi (CFN) decomposition of the Yang-Mills theory to answer how the enlarged local gauge symmetry respected by the CFN variables is restricted to obtain another Yang-Mills theory with the…

High Energy Physics - Theory · Physics 2009-11-11 K. -I. Kondo , T. Murakami , T. Shinohara

We show that to cubic order double field theory is encoded in Yang-Mills theory. To this end we use algebraic structures from string field theory as follows: The $L_{\infty}$-algebra of Yang-Mills theory is the tensor product ${\cal…

High Energy Physics - Theory · Physics 2022-07-27 Roberto Bonezzi , Felipe Diaz-Jaramillo , Olaf Hohm