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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…

高能物理 - 格点 · 物理学 2008-11-26 Simon Catterall

We present an overview on nonperturbative thermodynamics in the deconfining phase of an SU(2) Yang-Mills theory. In a unique effective theory the maximal resolution of trivial-topology fluctuations is constrained by coarse-grained,…

高能物理 - 理论 · 物理学 2017-08-23 Ralf Hofmann

We study a series of problems in classical Yang-Mills theories using lattice methods. We first investigate SU(N) self-dual configurations on the torus with twisted boundary conditions. We also study the zero modes of the Dirac equation in…

高能物理 - 格点 · 物理学 2008-11-26 M. Garcia Perez , A. Gonzalez-Arroyo , A. Montero , C. Pena

Real-time anomalous fermion number violation is investigated for massless chiral fermions in spherically symmetric SU(2) Yang-Mills gauge field backgrounds which can be weakly dissipative or even nondissipative. Restricting consideration to…

高能物理 - 理论 · 物理学 2009-11-07 F. R. Klinkhamer , Y. J. Lee

SU(2) Yang-Mills theory coupled in a non-minimal way to two scalar fields is discussed. For the massless scalar fields a family of finite energy solutions generated by an external, static electric charge is found. Additionally, there is a…

高能物理 - 唯象学 · 物理学 2014-11-17 A. Wereszczynski , M. Slusarczyk

The gradient flow of the Yang-Mills action acts pointwise on closed loops of gauge fields. We construct a topologically nontrivial loop of SU(2) gauge fields on S4 that is locally stable under the flow. The stable loop is written explicitly…

高能物理 - 理论 · 物理学 2010-08-24 Daniel Friedan

In this paper we continue the development of a spectral triple-like construction on a configuration space of gauge connections. We have previously shown that key elements of bosonic and fermionic quantum field theory emerge from such a…

数学物理 · 物理学 2024-10-18 Johannes Aastrup , Jesper M. Grimstrup

We present a first exploratory study of SU(2) gauge theory with one Dirac flavour in the adjoint representation. We provide initial results for the spectroscopy and the anomalous dimension for the chiral condensate. Our investigation…

高能物理 - 格点 · 物理学 2013-11-19 Andreas Athenodorou , Ed Bennett , Georg Bergner , Biagio Lucini , Agostino Patella

We study a topological Yang-Mills theory with $N=2$ fermionic symmetry. Our formalism is a field theoretical interpretation of the Donaldson polynomial invariants on compact K\"{a}hler surfaces. We also study an analogous theory on compact…

高能物理 - 理论 · 物理学 2009-10-22 Jae-Suk Park

We have proposed the non-Abelian dual superconductivity picture for quark confinement in the SU(3) Yang-Mills (YM) theory, and have given numerical evidences for the restricted-field dominance and the non-Abelian magnetic monopole dominance…

高能物理 - 格点 · 物理学 2013-02-28 Akihiro Shibata , Kei-Ichi Kondo , Seikou Kato , Toru Shinohara

We study vacuum states and symmetric fermions in equivariant dimensional reduction of Yang-Mills-Dirac theory over the six-dimensional homogeneous space SU(3)/U(1)x U(1) endowed with a family of SU(3)-structures including a nearly Kahler…

高能物理 - 理论 · 物理学 2013-09-11 Brian P. Dolan , Richard J. Szabo

We study the behaviour of \SU{2} Yang-Mills fields on a $T_2\times R^2$ geometry where the two-torus is equipped with twisted boundary conditions. We monitor the evolution of the dynamics of the system as a function of the torus size $l_s$.…

高能物理 - 格点 · 物理学 2025-05-16 Georg Bergner , Antonio González-Arroyo , Ivan Soler

In this paper we present a model of confinement based on an analogy with the confinement mechanism of the Schwarzschild solution of general relativity. Using recently discovered exact, Schwarzschild-like solutions of the SU(2)…

高能物理 - 理论 · 物理学 2015-06-26 Douglas Singleton , Atsushi Yoshida

We propose a twisted D=N=2 superspace formalism. The relation between the twisted super charges including the BRST charge, vector and pseudo scalar super charges and the N=2 spinor super charges is established. We claim that this relation…

高能物理 - 理论 · 物理学 2009-11-10 Junji Kato , Noboru Kawamoto , Yukiya Uchida

Relevant physical models are described by singular Lagrangians, so that their Hamiltonian description is based on the Dirac theory of constraints. The qualitative aspects of this theory are now understood, in particular the role of the…

高能物理 - 理论 · 物理学 2007-05-23 Luca Lusanna

A non-abelian magnetic field in Yang-Mills theory induces the formation of a "W-boson" vortex lattice. We study the propagation of fundamental fermions in the presence of this lattice in 2+1 dimensions. We show that the spectrum for…

高能物理 - 理论 · 物理学 2015-06-15 Benjamin Béri , David Tong , Kenny Wong

SU(2) Yang-Mills field theory is considered in the framework of the generalized Hamiltonian approach and the equivalent unconstrained system is obtained using the method of Hamiltonian reduction. A canonical transformation to a set of…

高能物理 - 理论 · 物理学 2010-11-19 A. M. Khvedelidze , H. -P. Pavel

We investigate dynamics of the homogeneous time-dependent SU(2) Yang-Mills fields governed by the non-Abelian Born-Infeld lagrangian which arises in superstring theory as a result of summation of all orders in the string slope parameter…

高能物理 - 理论 · 物理学 2009-11-10 D. V. Gal'tsov , V. V. Dyadichev

We consider SU(2) Yang-Mills theory in 1+1 dimensions coupled to massless adjoint fermions. With all fields in the adjoint representation the gauge group is actually SU(2)/Z_2, which possesses nontrivial topology. In particular, there are…

高能物理 - 理论 · 物理学 2009-10-30 S. Pinsky

A canonical basis of global Dirac's observables for Yang-Mills theory with fermions are obtained in a functional space in which Gribov ambiguity is absent and Gauss' laws can be solved exactly. In terms of these observables, one can express…

高能物理 - 理论 · 物理学 2010-11-01 Luca Lusanna