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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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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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Realizing a 1D topological gauge theory in an optically dressed BEC
Nature, 2022Anika Frölian +2 more
exaly
2004
Abstract We will discuss gauge transformations on fiber bundles and how they act on connections and their curvatures. Then we will briefly indicate how the concepts we have introduced relate to the gauge theory of elementary particle physics.
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Abstract We will discuss gauge transformations on fiber bundles and how they act on connections and their curvatures. Then we will briefly indicate how the concepts we have introduced relate to the gauge theory of elementary particle physics.
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Equivariant Flow-Based Sampling for Lattice Gauge Theory
Physical Review Letters, 2020Gurtej Kanwar +2 more
exaly