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Cohomological Yang-Mills theory is formulated on a noncommutative differentiable four manifold through the $\theta$-deformation of its corresponding BRST algebra. The resulting noncommutative field theory is a natural setting to define the…

高能物理 - 理论 · 物理学 2009-11-10 Hugo Garcia-Compean , Pablo Paniagua

The Yang-Mills theory associated with the restricted Lorentz group is revisited as a candidate for a theory of gravity. This is a natural idea because the principle of equivalence of gravitation and inertia suggests to introduce locally…

广义相对论与量子宇宙学 · 物理学 2020-06-01 Hans Christian Öttinger

The gauge theory for random spin systems is extended to quantum spin glasses to derive a number of exact and/or rigorous results. The transverse Ising model and the quantum gauge glass are shown to be gauge invariant. For these models, an…

无序系统与神经网络 · 物理学 2007-05-23 Satoshi Morita , Yukiyasu Ozeki , Hidetoshi Nishimori

A gauge and diffeomorphism invariant theory in (2+1)-dimensions is presented in both first and second order Lagrangian form as well as in a Hamiltonian form. For gauge group $SO(1,2)$, the theory is shown to describe ordinary Einstein…

广义相对论与量子宇宙学 · 物理学 2009-10-22 Peter Peldan

We show that the perturbative expansion of general gauge theories can be expressed in terms of gauge invariant variables to all orders in perturbations. In this we generalize techniques developed in gauge invariant cosmological perturbation…

高能物理 - 理论 · 物理学 2023-01-11 Christoph Chiaffrino , Olaf Hohm , Allison F. Pinto

In the framework of causal perturbation theory we analyze the gauge structure of a massless self-interacting quantum tensor field. We look at this theory from a pure field theoretical point of view without assuming any geometrical aspect…

高能物理 - 理论 · 物理学 2007-05-23 G. Scharf , M. Wellmann

Three-dimensional Yang-Mills theory allows for a deformation quadratic in the field strengths which can not be integrated to a local action without auxiliary fields. Yet, its covariant divergence consistently vanishes after iterating the…

高能物理 - 理论 · 物理学 2022-07-22 Nihat Sadik Deger , Henning Samtleben

In this paper the SIM(2) superspace formulation of the supersymmetric Yang-Mills gauge theory minimally coupled to chiral superfields is discussed. The super-Poincare invariant supersymmetric Yang-Mills theory is rewritten to SIM(2)…

高能物理 - 理论 · 物理学 2015-03-16 Jiří Vohánka

We introduce a gauge and diffeomorphism invariant theory on Yang-Mills phase space. The theory is well defined for an arbitrary gauge group with an invariant bilinear form, it contains only first class constraints, and the spacetime metric…

广义相对论与量子宇宙学 · 物理学 2010-11-01 Subenoy Chakraborty , Peter Peldan

We reinterpret the Faddeev-Popov gauge-fixing procedure of Yang-Mills theories as the definition of a topological quantum field theory for gauge group elements depending on a background connection. This has the advantage of relating…

高能物理 - 理论 · 物理学 2008-11-26 Laurent Baulieu , Martin Schaden

We introduce a self-dual field strength which replaces the gauge field in spontaneously broken Yang-Mills theory, reformulating it as a Lorentz covariant non-linear sigma model. This dualized theory is in both a unitary and renormalizable…

高能物理 - 理论 · 物理学 2007-05-23 Gordon Chalmers , Warren Siegel

In the present work the gauge invariance of causal Yang-Mills theory will be proven with the aid of the gauge-factor group. For that purpose it must be shown, that the operator valued distributions T_n and D_n(ret) occurring in the causal…

高能物理 - 理论 · 物理学 2007-05-23 N. Emmenegger

A general method for treating non-Gaussian wave functionals in quantum field theory is presented and applied to the Hamiltonian approach to Yang-Mills theory in Coulomb gauge in order to include a three-gluon kernel in the exponential of…

高能物理 - 理论 · 物理学 2015-05-20 Davide R. Campagnari , Hugo Reinhardt

This paper exposes a reformulation of some gauge theories in terms of explicitly gauge-invariant variables. We show in the case of Scalar QED that the classical theory can be reformulated locally with some gauge invariant variables. We…

高能物理 - 唯象学 · 物理学 2009-10-31 Eric Chopin

The Yang-Mills functional integral is studied in an axial variant of 't Hooft's maximal Abelian gauge. In this gauge Gau\ss ' law can be completely resolved resulting in a description in terms of unconstrained variables. Compared to…

高能物理 - 理论 · 物理学 2009-10-30 H. Reinhardt

In this work, we study a gauge invariant local non-polynomial composite spinor field in the fundamental representation in order to establish its renormalizability. Similar studies were already done in the case of pure Yang-Mills theories…

高能物理 - 理论 · 物理学 2021-07-27 M. A. L. Capri , S. P. Sorella , R. C. Terin

We consider Lie(G)-valued G-invariant connections on bundles over spaces G/H, RxG/H and R^2xG/H, where G/H is a compact nearly Kaehler six-dimensional homogeneous space, and the manifolds RxG/H and R^2xG/H carry G_2- and Spin(7)-structures,…

高能物理 - 理论 · 物理学 2010-10-06 Derek Harland , Tatiana A. Ivanova , Olaf Lechtenfeld , Alexander D. Popov

An ansatz is presented for a possible non-associative deformation of the standard Yang-Mills type gauge theories. An explicit algebraic structure for the deformed gauge symmetry is put forward and the resulting gauge theory developed. The…

高能物理 - 理论 · 物理学 2011-08-17 A. Ritz , G. C. Joshi

The transformation properties of a Kalb-Ramond field are those of a gauge potential. However, it is not clear what is the group structure to which these transformations are associated. In this paper, we complete a program started in…

高能物理 - 理论 · 物理学 2009-11-10 Marcelo Botta Cantcheff

We derive a gauge-invariant low-energy effective model of the Yang-Mills theory. We find that the effective gluon propagator belongs to the Gribov-Stingl type and agrees with it when a mass term which breaks nilpotency of the BRST symmetry…

高能物理 - 理论 · 物理学 2015-05-27 Kei-Ichi Kondo