Matches in DBpedia 2016-04 for { <http://dbpedia.org/resource/BRST_quantization> ?p ?o }
- BRST_quantization abstract "In theoretical physics, BRST quantization (where the BRST refers to Becchi, Rouet, Stora and Tyutin) denotes a relatively rigorous mathematical approach to quantizing a field theory with a gauge symmetry. Quantization rules in earlier quantum field theory (QFT) frameworks resembled \"prescriptions\" or \"heuristics\" more than proofs, especially in non-abelian QFT, where the use of \"ghost fields\" with superficially bizarre properties is almost unavoidable for technical reasons related to renormalization and anomaly cancellation. The BRST global supersymmetry introduced in the mid-1970s was quickly understood to rationalize the introduction of these Faddeev–Popov ghosts and their exclusion from \"physical\" asymptotic states when performing QFT calculations. Crucially, this symmetry of the path integral is preserved in loop order, and thus prevents introduction of counterterms which might spoil renormalizability of gauge theories. Work by other authors a few years later related the BRST operator to the existence of a rigorous alternative to path integrals when quantizing a gauge theory.Only in the late 1980s, when QFT was reformulated in fiber bundle language for application to problems in the topology of low-dimensional manifolds, did it become apparent that the BRST \"transformation\" is fundamentally geometrical in character. In this light, \"BRST quantization\" becomes more than an alternate way to arrive at anomaly-cancelling ghosts. It is a different perspective on what the ghost fields represent, why the Faddeev–Popov method works, and how it is related to the use of Hamiltonian mechanics to construct a perturbative framework. The relationship between gauge invariance and \"BRST invariance\" forces the choice of a Hamiltonian system whose states are composed of \"particles\" according to the rules familiar from the canonical quantization formalism. This esoteric consistency condition therefore comes quite close to explaining how quanta and fermions arise in physics to begin with.In certain cases, notably gravity and supergravity, BRST must be superseded by a more general formalism, the Batalin–Vilkovisky formalism.".
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- BRST_quantization wikiPageWikiLink Abelian_gauge_theory.
- BRST_quantization wikiPageWikiLink Action_(physics).
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- BRST_quantization wikiPageWikiLink Adiabatic_theorem.
- BRST_quantization wikiPageWikiLink Anomaly_(physics).
- BRST_quantization wikiPageWikiLink Asymptotic_freedom.
- BRST_quantization wikiPageWikiLink Automorphism.
- BRST_quantization wikiPageWikiLink Auxiliary_field.
- BRST_quantization wikiPageWikiLink Batalin–Vilkovisky_formalism.
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- BRST_quantization wikiPageWikiLink Carlo_Becchi.
- BRST_quantization wikiPageWikiLink Category:Cohomology_theories.
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- BRST_quantization wikiPageWikiLink Equivalence_class.
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- BRST_quantization wikiPageWikiLink Faddeev–Popov_ghost.
- BRST_quantization wikiPageWikiLink Fermion.
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- BRST_quantization wikiPageWikiLink Feynman_diagram.
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- BRST_quantization wikiPageWikiLink Fock_space.
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- BRST_quantization wikiPageWikiLink Graded_ring.
- BRST_quantization wikiPageWikiLink Graded_vector_space.
- BRST_quantization wikiPageWikiLink Gribov_ambiguity.
- BRST_quantization wikiPageWikiLink Group_action.
- BRST_quantization wikiPageWikiLink Group_representation.
- BRST_quantization wikiPageWikiLink Hamiltonian_mechanics.
- BRST_quantization wikiPageWikiLink Hamiltonian_system.
- BRST_quantization wikiPageWikiLink Higgs_mechanism.
- BRST_quantization wikiPageWikiLink Hilbert_space.
- BRST_quantization wikiPageWikiLink Ideal_(set_theory).
- BRST_quantization wikiPageWikiLink Igor_Tyutin.
- BRST_quantization wikiPageWikiLink Image.
- BRST_quantization wikiPageWikiLink Image_(mathematics).
- BRST_quantization wikiPageWikiLink Indefinite_inner_product_space.
- BRST_quantization wikiPageWikiLink Inertial_frame_of_reference.
- BRST_quantization wikiPageWikiLink Infinitesimal_diffeomorphism.
- BRST_quantization wikiPageWikiLink Inner_product_space.