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The Ideas of Particle Physics, 2020
We show that any theory with second class constraints may be cast into a gauge theory if one makes use of solutions of the constraints expressed in terms of the coordinates of the original phase space.
David Tong
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We show that any theory with second class constraints may be cast into a gauge theory if one makes use of solutions of the constraints expressed in terms of the coordinates of the original phase space.
David Tong
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, 2020
During the course of this century, gauge invariance has slowly emerged from being an incidental symmetry of electromagnetism to being a fundamental geometrical principle underlying the four known fundamental physical interactions.
L. O'raifeartaigh
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During the course of this century, gauge invariance has slowly emerged from being an incidental symmetry of electromagnetism to being a fundamental geometrical principle underlying the four known fundamental physical interactions.
L. O'raifeartaigh
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Gauge Theories beyond Gauge Theories
Fortschritte der Physik, 2001Summary: We introduce the algebra of functions generated by non-commuting coordinates and construct an isomorphism of this algebra to the usual algebra of functions equipped with a noncommutative \(\diamondsuit\) product. In order to be able to formulate dynamics and do field theory, we have to define derivatives and integration.
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AIP Conference Proceedings, 1989
In quantum mechanics non classical trajectories are allowed with a probability: $$ P\{ x(t)\} = {e^{ - {{S\{ x(t)\} } \over h}}} $$ (1) where the time is euclidean (t ---> it) and $$ P\{ x(t)\} = \int\limits_{ - \infty }^\infty {L[x(t),\dot x(t)]} $$ (1) When h goes to zero, the probability peaks at the minimum of the action , the ...
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In quantum mechanics non classical trajectories are allowed with a probability: $$ P\{ x(t)\} = {e^{ - {{S\{ x(t)\} } \over h}}} $$ (1) where the time is euclidean (t ---> it) and $$ P\{ x(t)\} = \int\limits_{ - \infty }^\infty {L[x(t),\dot x(t)]} $$ (1) When h goes to zero, the probability peaks at the minimum of the action , the ...
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International Journal of Modern Physics A, 1996
We consider a gauge theory by taking real quantum groups of nondegenerate bilinear form as a symmetry. The construction of this quantum gauge theory is developed in order to fit with the Hopf algebra structure. In this framework, we show that an appropriate definition of the infinitesimal gauge variations and the axioms of the Hopf algebra structure ...
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We consider a gauge theory by taking real quantum groups of nondegenerate bilinear form as a symmetry. The construction of this quantum gauge theory is developed in order to fit with the Hopf algebra structure. In this framework, we show that an appropriate definition of the infinitesimal gauge variations and the axioms of the Hopf algebra structure ...
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Perturbative Gauge Theory as a String Theory in Twistor Space
, 2003Perturbative scattering amplitudes in Yang-Mills theory have many unexpected properties, such as holomorphy of the maximally helicity violating amplitudes.
E. Witten
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Physical Review D, 1990
It is shown that there is a "universal" group that contains the gauge groups of all Yang-Mills theories as subgroups. An analogue of Yang-Mills theory ("universal gauge theory") with this group as the invariance group is shown to exist in 3+1 space-time dimensions.
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It is shown that there is a "universal" group that contains the gauge groups of all Yang-Mills theories as subgroups. An analogue of Yang-Mills theory ("universal gauge theory") with this group as the invariance group is shown to exist in 3+1 space-time dimensions.
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, 1992
This is a systematic study of the classical and quantum theories of gauge systems. It starts with Dirac's analysis showing that gauge theories are constrained Hamiltonian systems.
M. Henneaux, C. Teitelboim
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This is a systematic study of the classical and quantum theories of gauge systems. It starts with Dirac's analysis showing that gauge theories are constrained Hamiltonian systems.
M. Henneaux, C. Teitelboim
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