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Gauge theory on the q-deformed two-dimensional Euclidean plane R^2_q is studied using two different approaches. We first formulate the theory using the natural algebraic structures on R^2_q, such as a covariant differential calculus, a…

High Energy Physics - Theory · Physics 2009-11-10 Frank Meyer , Harold Steinacker

We consider a family of perturbative heterotic string backgrounds. These are complex threefolds X with c_1 = 0, each with a gauge field solving the Hermitian Yang-Mill's equations and compatible B and H fields that satisfy the anomaly…

High Energy Physics - Theory · Physics 2019-02-20 Philip Candelas , Xenia de la Ossa , Jock McOrist , Roberto Sisca

We study $U_A$(1) anomaly of non-perturbative QCD in the maximally abelian gauge on SU(2) lattice. The existence of the strong correlation between QCD-monopoles and instantons in the abelian gauge is shown by both analytic and numerical…

High Energy Physics - Lattice · Physics 2008-02-03 Shoichi Sasaki , Osamu Miyamura

We test the cooling algorithm with gluonic and staggered hadronic spectroscopy on $SU(3)$ gauge field configurations generated with two flavors of staggered dynamical fermions. We find cooling is not reliable as the basis for improved…

High Energy Physics - Lattice · Physics 2009-10-28 Robert G. Edwards , Khalil Bitar , Urs M. Heller , A. D. Kennedy

We study the interplay between Dirac eigenmodes and center vortices in SU(2) lattice gauge theory. In particular we focus on vortex-removed configurations and compare them to an ensemble of configurations with random changes of the link…

High Energy Physics - Lattice · Physics 2009-11-10 Jochen Gattnar , Christof Gattringer , Kurt Langfeld , Hugo Reinhardt , Andreas Schafer , Stefan Solbrig , T. Tok

We present a non perturbative study of SU(2) gauge theory with two fundamental Dirac flavours. This theory provides a minimal template which is ideal for a wide class of Standard Model extensions featuring novel strong dynamics, such as a…

High Energy Physics - Lattice · Physics 2018-04-18 Vincent Drach , Tadeusz Janowski , Claudio Pica

We study numerically the SU(2) Kazakov-Migdal model of `induced QCD'. In contrast to our earlier work on the subject we have chosen here {\it not} to integrate out the gauge fields but to keep them in the Monte Carlo simulation. This allows…

High Energy Physics - Lattice · Physics 2009-10-22 Sinya Aoki , Andreas Gocksch , Yue Shen

We consider a pure SU(2) gauge theory, and make an ansatz for the gauge field, which is gauge-invariant but manifestly non-Lorentz invariant. In a limit case of the ansatz, corresponding to a vacuum solution, the SU(2) gauge field reduces…

Quantum Physics · Physics 2011-04-04 Paola Zizzi , Eliano Pessa

We study the effect of cooling on the spatial distribution of the topological charge density in quenched SU(2) lattice gauge theory with overlap fermions. We show that as the gauge field configurations are cooled, the Hausdorff dimension of…

High Energy Physics - Lattice · Physics 2015-03-13 P. V. Buividovich , T. Kalaydzhyan , M. I. Polikarpov

The recent solution of the Mandelstam constraints for SU(2) is reviewed. This enables the subspace of physical configurations of an SU(2) pure gauge theory on the lattice (introduced solely to regulate the number of fields) with 3N physical…

High Energy Physics - Theory · Physics 2009-10-28 N. J. Watson

Recently it has been argued that infrared singularities of the quark-gluon vertex of Landau gauge QCD can confine static quarks via a linear potential. It is demonstrated that the same mechanism also may confine fundamental scalar fields.…

High Energy Physics - Phenomenology · Physics 2015-05-20 Reinhard Alkofer , Leonard Fister , Axel Maas , Veronika Macher

In this brief note we analyse a toy model which can be derived from heterotic string compactifications on half-flat manifolds with SU(3) structure at first order in \alpha' (ie including matter fields). We show that for this model, finding…

High Energy Physics - Theory · Physics 2009-04-02 Andrei Micu

The continuum 3d SU(2)$\times$U(1)+Higgs theory is an effective theory for a large class of 4d high-temperature gauge theories, including the minimal standard model and some of its supersymmetric extensions. We study the effects of the U(1)…

High Energy Physics - Lattice · Physics 2008-11-26 K. Kajantie , M. Laine , K. Rummukainen , M. Shaposhnikov

We show that gluodynamics in an external Abelian electromagnetic field should possess a deconfining phase transition at zero temperature. Our analytical estimation of the critical external field is based on the dual superconductor picture…

High Energy Physics - Phenomenology · Physics 2010-05-27 M. N. Chernodub

Configurations of pure SU(2) gauge field theory on the lattice are transformed to Landau gauge. After Fourier transformation, large momentum amplitudes are suppressed (filtered) by a variable amount, and the configurations are transformed…

High Energy Physics - Lattice · Physics 2007-05-23 F. Gutbrod

The quantum mechanics of spatially constant SU(2) Yang-Mills- and Dirac-fields minimally coupled to each other is investigated as the strong coupling limit of 2-color-QCD. Using a canonical transformation of the quark and gluon fields,…

High Energy Physics - Theory · Physics 2011-06-13 H. -P. Pavel

We study a holographic model realizing an "antiferromagnetic" phase in which a global SU(2) symmetry representing spin is broken down to a U(1) by the presence of a finite electric charge density. This involves the condensation of a neutral…

High Energy Physics - Theory · Physics 2014-11-20 Nabil Iqbal , Hong Liu , Márk Mezei , Qimiao Si

We consider the Standard Model on a non-commutative space and expand the action in the non-commutativity parameter theta. No new particles are introduced, the structure group is SU(3) x SU(2) x U(1). We derive the leading order action. At…

High Energy Physics - Phenomenology · Physics 2011-01-05 X. Calmet , B. Jurco , P. Schupp , J. Wess , M. Wohlgenannt

We study $SO(32)$ heterotic string theory on torus with magnetic fluxes. Non-vanishing fluxes can lead to non-universal gauge kinetic functions for $SU(3) \times SU(2) \times U(1)_Y$ which is the important features of $SO(32)$ heterotic…

High Energy Physics - Phenomenology · Physics 2016-06-21 Hiroyuki Abe , Tatsuo Kobayashi , Hajime Otsuka , Yasufumi Takano , Takuya H. Tatsuishi

The non-perturbative input necessary for the determination of the ${\cal O}(g^6)$ part of the weak coupling expansion of the free energy density for SU(2) and SU(3) gauge theories is estimated. Although the perturbative information…

High Energy Physics - Lattice · Physics 2009-10-28 F. Karsch , M. Lütgemeier , A. Patkós , J. Rank
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