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We consider the use of interpolating gauges (with a gauge function (F[A;alpha ]) in gauge theories to connect the results in a set of different gauges in the path-integral formulation. We point out that the results for physical observables…

高能物理 - 理论 · 物理学 2014-11-18 Satish D. Joglekar

Viewing gravitational energy-momentum as equal by observation, but different in essence from inertial energy-momentum naturally leads to the gauge theory of volume-preserving diffeormorphisms of an inner Minkowski space which can describe…

数学物理 · 物理学 2012-03-13 C. Wiesendanger

It is well known that in order to make the path integral of general relativity converge, one has to perform the Wick rotation over the conformal factor in addition to the more familiar Wick rotation of the time axis to pass to the…

高能物理 - 理论 · 物理学 2019-10-23 Ichiro Oda

The path integral of a gauge theory is studied in Coulomb-like gauges. The Christ-Lee terms of operator ordering are reproduced {\it{within}} the path integration framework. In the presence of fermions, a new operator term, in addition to…

高能物理 - 理论 · 物理学 2009-10-31 Hai-cang Ren

We put forward the idea that in addition to diffeomorphism invariance of general relativity (GR) the gravitational interaction is invariant under arbitrary scale-deformations of the metric field. In addition, we assume that the scaling…

广义相对论与量子宇宙学 · 物理学 2022-05-19 Meir Shimon

Evaluation of variation of a Green's function in a gauge field theory with a gauge parameter theta involves field transformations that are (close to) singular. Recently, we had demonstrated {hep-th/0106264}some unusual results that follow…

高能物理 - 理论 · 物理学 2007-05-23 Satish D. Joglekar

A systematic procedure is proposed for deriving all the gauge symmetries of the general, not necessarily variational, equations of motion. For the variational equations, this procedure reduces to the Dirac-Bergmann algorithm for the…

数学物理 · 物理学 2015-05-13 S. L. Lyakhovich , A. A. Sharapov

Recently, Hoshina, Fujii, and Kikukawa pointed out that the naive lattice gauge theory action in Minkowski signature does not result in a unitary theory in the continuum limit, and Kanwar and Wagman proposed alternative lattice actions to…

高能物理 - 格点 · 物理学 2022-08-04 Nobuyuki Matsumoto

We develop the BRST approach to gauge invariant Lagrangian construction for the massive mixed symmetry integer higher spin fields described by the rank-two Young tableaux in arbitrary dimensional Minkowski space. The theory is formulated in…

高能物理 - 理论 · 物理学 2008-11-26 I. L. Buchbinder , V. A. Krykhtin , H. Takata

This study of gauge field theories on kappa-deformed Minkowski spacetime extends previous work on field theories on this example of a noncommutative spacetime. We construct deformed gauge theories for arbitrary compact Lie groups using the…

高能物理 - 理论 · 物理学 2007-05-23 Marija Dimitrijevic , Frank Meyer , Lutz Möller , Julius Wess

We determine all the terms that are gauge-invariant up to a total spacetime derivative ("semi-invariant terms") for gauged non-linear sigma models. Assuming that the isotropy subgroup $H$ of the gauge group is compact or semi-simple, we…

高能物理 - 理论 · 物理学 2009-10-31 M. Henneaux , A. Wilch

We point out that the gauge-invariance of the subleading Lagrangian of soft-collinear effective theory is realised in an intricate way through momentum-conservation violating contributions. Although these terms are disregarded in…

高能物理 - 唯象学 · 物理学 2023-09-01 Philipp Böer , Patrick Hager

The quantization of spontaneously broken gauge theories in noncommutative geometry(NCG) has been sought for some time, because quantization is crucial for making the NCG approach a reliable and physically acceptable theory. Lee, Hwang and…

高能物理 - 理论 · 物理学 2014-11-18 Yoshitaka Okumura

Invariance under finite conformal transformations in Minkowski space and the Wightman axioms imply strong locality (Huygens principle) and rationality of correlation functions, thus providing an extension of the concept of vertex algebra to…

数学物理 · 物理学 2011-07-19 Nikolay M. Nikolov , Ivan T. Todorov

Explicit path integration is carried out for the Green's functions of special relativistic harmonic oscillators in (1+1)- and (3+1)-dimensional Minkowski space-time modeled by a Klein-Gordon particle in the universal covering space-time of…

量子物理 · 物理学 2009-11-07 M. T. Chefrour , F. Benamira , L. Guechi

We study a class of Wilsonian formulations of non-Abelian gauge theories in algebraic non-covariant gauges where the Wilsonian infrared cutoff $\Lambda$ is inserted as a mass term for the propagating fields. In this way the Ward-Takahashi…

高能物理 - 理论 · 物理学 2011-08-17 Michele Simionato

It is shown that the Lorentz transformations can be derived for a non-orthogonal Euclidean space. In this geometry one finds the same relations of special relativity as the ones known from the orthogonal Minkowski space. In order to…

量子物理 · 物理学 2007-05-23 Carmen Tornow

We exploit the fact that, in Minkowski space-time, gamma matrices are possibly more fundamental than the metric to describe how gauge invariance at perturbative level enforces a Lagrangian for spinor electrodynamics with massless photons.…

高能物理 - 唯象学 · 物理学 2008-11-26 Giampiero Esposito

The non-Abelian tensor gauge fields take value in extended Poincar\'e algebra. In order to define the invariant Lagrangian we introduce a vector variable in two alternative ways: through the transversal representation of the extended…

高能物理 - 理论 · 物理学 2018-01-17 George Savvidy

Gauge invariance is a fundamental principle that must be preserved in quantum transport. However, when a complex potential is incorporated into the Hamiltonian, we find that the current described by the well-established…

介观与纳米尺度物理 · 物理学 2024-09-23 Miaomiao Wei , Bin Wang , Jian Wang
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