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Lagrangian constraints and gauge symmetries
Letters in Mathematical Physics, 1988Within the study of degenerate Lagrangian systems, a new intrinsic expression is proposed for the conditions under which the solutions of the dynamical equation \(i_{\Gamma}\omega =dE\) do exist and are second- order vector fields. Such conditions are expressed in terms of generalized symmetries for the Lagrangian and constitute further progress in ...
FERRARIO, Carlo, PASSERINI, Arianna
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Gauge Symmetry and Transverse Symmetry Transformations in Gauge Theories
Communications in Theoretical Physics, 2009The transverse symmetry transformations associated with the normal symmetry transformations are proposed to build the transverse constraints on the basic vertices in gauge theories. I show that, while the BRST symmetry in non-Abelian gauge theory QCD (Quantum Chromodynamics) leads to the Slavnov–Taylor identity for the quark-gluon vertex which ...
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2000
Abstract But this extra term is of the same form but of opposite sign so as to cancel the corresponding term in the transformation of the ordinary derivative. In this way the gauge field is just the compensating field needed to enforce the invariance of the theory under transformations that differ from point to point.
Ta-Pei Cheng, Ling-Fong Li
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Abstract But this extra term is of the same form but of opposite sign so as to cancel the corresponding term in the transformation of the ordinary derivative. In this way the gauge field is just the compensating field needed to enforce the invariance of the theory under transformations that differ from point to point.
Ta-Pei Cheng, Ling-Fong Li
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Gauge Symmetries and Dirac Conjecture
International Journal of Theoretical Physics, 2009zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wang, Yong-Long, Li, Zi-Ping, Wang, Ke
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The interpretation of gauge symmetry
2002Introduction The term ‘gauge’ refers in its most general everyday connotation to a system of measuring physical quantities, for example by comparing a physical magnitude with a standard or ‘unit’. Changing the gauge would then refer to changing the standard.
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A note on gauge symmetry breaking
Letters in Mathematical Physics, 1992It is shown that the breaking of abelian gauge symmetry implies the existence of dipole singularities \(\delta'(k^ 2)\) in the correlation functions of abelian Higgs model. An explicit example of gauge symmetry breaking -- Ferrari's model -- is discussed.
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Spontaneous breaking of the gauge symmetry
2006We have seen in Chap. 7 that the neutral vector boson fields coupled to the \(SU(2)\) and \(U(1)\) charges appear as linear combinations of the massless photon field and of the \(Z^0\) field; similarly, left-handed quarks with charge \(-1/3\) enter the weak interaction term as linear combinations of the corresponding mass eigenfields. We show here that
Carlo M. Becchi, Giovanni Ridolfi
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