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Gauge Theories beyond Gauge Theories
Fortschritte der Physik, 2001In gauge theories we consider differentiable manifolds as base manifolds and fibres that carry a representation of a Lie group. In the following we shall show that it is possible to replace the differentiable manifold by a non-commutative algebra, ref. [1]. For this purpose we first focus our attention on algebraic properties. The coordinates x i $$
Julius Wess, Julius Wess
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AIP Conference Proceedings, 1989
In quantum mechanics non classical trajectories are allowed with a probability: $$ 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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1993
The Glashow-Salam-Weinberg theory combines the electromagnetic and weak interactions within the framework of the gauge group SU(2) L × SU(1). This theory treats leptons and quarks on the same footing. However, the fact that leptons carry integer charge while the charge of quarks is 1/3 is needed as a basic input.
Berndt Müller, Walter Greiner
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The Glashow-Salam-Weinberg theory combines the electromagnetic and weak interactions within the framework of the gauge group SU(2) L × SU(1). This theory treats leptons and quarks on the same footing. However, the fact that leptons carry integer charge while the charge of quarks is 1/3 is needed as a basic input.
Berndt Müller, Walter Greiner
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Gauge Theories of Gravitation [PDF]
, 1978 The theories of electromagnetism and gravitation are the best understood classical field theories. The former serves as model for gauge theories which are conjectured to describe weak and strong interactions. It is therefore natural to ask whether Einstein’s theory (G.R.) of gravitation is such a gauge theory. In G.R.
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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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Gauge theories in the light-cone gauge
Physical Review D, 1990A canonical formulation, using equal-time commutation rules for canonically conjugate operator-valued fields, is given for quantum electrodynamics and Yang-Mills theory in the light-cone gauge. A gauge-fixing term is used that avoids all operator constraints by providing a canonically conjugate momentum for every field component. The theory is embedded
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