Renormalization of gauge theories

Becchi, C.; Rouet, A.; Stora, R.

doi:10.1016/0003-4916(76)90156-1

Cited by 1,646 publications

(1,172 citation statements)

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“…As we mentioned before, in order to gauge a system with second-class constraints, we use the symplectic approach in order to embed a non-invariant system in an extended phasespace [41][42][43].…”

Section: Gauge Theories and Constraintsmentioning

confidence: 99%

Lagrange multiplier and Wess-Zumino variable as extra dimensions in the torus universe

Nejad

Dehghani

Monemzadeh

2018

J. High Energ. Phys.

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Abstract:We study the effect of the simplest geometry which is imposed via the topology of the universe by gauging non-relativistic particle model on torus and 3-torus with the help of symplectic formalism of constrained systems. Also, we obtain generators of gauge transformations for gauged models. Extracting corresponding Poisson structure of existed constraints, we show the effect of the shape of the universe on canonical structure of phase-spaces of models and suggest some phenomenology to prove the topology of the universe and probable non-commutative structure of the space. In addition, we show that the number of extra dimensions in the phase-spaces of gauged embedded models are exactly two. Moreover, in classical form, we talk over modification of Newton's second law in order to study the origin of the terms appeared in the gauged theory.

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Section: Gauge Theories and Constraintsmentioning

confidence: 99%

Lagrange multiplier and Wess-Zumino variable as extra dimensions in the torus universe

Nejad

Dehghani

Monemzadeh

2018

J. High Energ. Phys.

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“…3) Reformulate the YM theory as a constrained Hamiltonian system and then quantize (Dirac, 2001). 4) Impose BRST symmetry and then quantize the resultant theory that is described by a gauge dependent action and that contains unphysical ghosts fields (Becchi et al, 1976). 12…”

Section: Quantization Of Yang-mills Theoriesmentioning

confidence: 99%

A partial elucidation of the gauge principle

Guay

2008

Studies in History and Philosophy of Science Part B: Studies in

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The elucidation of the gauge principle "is the most pressing problem in current philosophy of physics" Michael Redhead in 2003. This paper argues for two points that contribute to this elucidation in the context of Yang-Mills theories. 1) Yang-Mills theories, including quantum electrodynamics, form a class. They should be interpreted together. To focus on electrodynamics is potentially misleading. 2) The essential role of gauge and BRST symmetries is to provide a local field theory that can be quantized and would be equivalent to the quantization of the non-local reduced theory. If this is correct, the gauge symmetry is significant, not so much because it implies ontological consequences, but because it allows us to quantize theories that we would not be able to quantize otherwise. Thus, in the context of Yang-Mills theories, it is essentially a pragmatic principle. This does not seem to be the case for the gauge symmetry in general relativity.

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“…approach to Gauge Fields models [35] . Indeed it easy (but troublesome and tedious ) to see, using the consistency conditions coming from eq (4.68), that the external fields component of the anomaly can be compensated within a counter-term procedure.…”

Section: Quantum Extensionmentioning

confidence: 99%