• In theoretical physics, the BRST formalism, or BRST quantization (where the BRST refers to the last names of Carlo Becchi, Alain Rouet, Raymond Stora and...
    58 KB (9,464 words) - 19:44, 7 June 2025
  • finding the global optimum of black box functions BRST quantization in Yang-Mills theories, a way to quantize a gauge-symmetric field theory Brasília Summer...
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  • Thumbnail for Canonical quantization
    context, it is also called the second quantization of fields, in contrast to the semi-classical first quantization of single particles. When it was first...
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  • Thumbnail for Quantum field theory
    rigorous generalization of the Faddeev–Popov procedure is given by BRST quantization.: 517  Spontaneous symmetry breaking is a mechanism whereby the symmetry...
    107 KB (14,903 words) - 01:36, 27 May 2025
  • Thumbnail for Gauge theory
    counterterms motivated by anomaly cancellation, in an approach known as BRST quantization. While these concerns are in one sense highly technical, they are...
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  • Thumbnail for Ghost (physics)
    rigorously quantize non-Abelian Yang–Mills theory, such as done with BRST quantization. A field with a negative ghost number (the number of ghosts excitations...
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  • formalism, an extension of the BRST formalism. One of the earliest attempts at a natural quantization was Weyl quantization, proposed by Hermann Weyl in...
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  • Thumbnail for Yang–Mills theory
    contribute something to the discussions, especially with regard to the quantization procedures, and to a small degree in working out the formalism; however...
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  • a general element of the Fock-space of the BRST quantized string takes the form (in radial quantization in the upper half plane), | Ψ ⟩ = ∫ d 26 p (...
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  • by the usual differential used to compute Lie algebra cohomology. BRST quantization Gerstenhaber algebra Supermanifold Analysis of flows Poisson manifold...
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  • Thumbnail for Proca action
    gauge-fixed version of the Stueckelberg action via the Higgs mechanism. Quantizing the Proca action requires the use of second class constraints. If   m...
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  • Thumbnail for Shin'ichirō Tomonaga
    Noether charge Topological charge Tools Anomaly Background field method BRST quantization Correlation function Crossing Effective action Effective field theory...
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  • Thumbnail for Quantum cosmology
    Noether charge Topological charge Tools Anomaly Background field method BRST quantization Correlation function Crossing Effective action Effective field theory...
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  • Thumbnail for Wheeler–DeWitt equation
    \operatorname {tr} ((g^{-1}dg)^{2})-(\operatorname {tr} (g^{-1}dg))^{2}.} Quantization "puts hats" on the momenta and field variables; that is, the functions...
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  • Thumbnail for Second quantization
    Canonical quantization First quantization Geometric quantization Quantization (physics) Schrödinger functional Scalar field theory Second quantization on Wikiversity...
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  • Thumbnail for Mass gap
    Goldstone bosons, that are removed in the latter case due to gauge freedom. Quantization preserves this gauge freedom property. A quartic massless scalar field...
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  • Thumbnail for Vacuum expectation value
    Noether charge Topological charge Tools Anomaly Background field method BRST quantization Correlation function Crossing Effective action Effective field theory...
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  • Thumbnail for History of quantum field theory
    infinite set of harmonic oscillators, and by then utilizing the canonical quantization procedure to these oscillators; their paper was published in 1926. This...
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  • various ways to quantize the string within this framework including light-cone quantization, old canonical quantization, and BRST quantization. A consistent...
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  • Thumbnail for One-loop Feynman diagram
    Noether charge Topological charge Tools Anomaly Background field method BRST quantization Correlation function Crossing Effective action Effective field theory...
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  • Thumbnail for Gauge fixing
    in the quantum mechanical sense, becomes more evident in the BRST formalism of quantization. In any non-abelian gauge theory, any maximal abelian gauge...
    28 KB (4,276 words) - 12:06, 3 June 2025
  • Thumbnail for Anomaly (physics)
    conserved as a classical symmetry of electrodynamics, but is broken by the quantized theory. The relationship of this anomaly to the Atiyah–Singer index theorem...
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    Noether charge Topological charge Tools Anomaly Background field method BRST quantization Correlation function Crossing Effective action Effective field theory...
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  • Thumbnail for Coupling constant
    some formulations of quantum field theory, in particular, canonical quantization in the interaction picture. In other formulations, the same event is...
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  • applied in representation theory, and is closely connected with the BRST quantization of theoretical physics. Group cohomology theory also has a direct...
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  • Thumbnail for Casimir effect
    field in question. The second quantization of quantum field theory requires that each such ball-spring combination be quantized, that is, that the strength...
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  • Thumbnail for Path integral formulation
    way) is easier to achieve than in the operator formalism of canonical quantization. Unlike previous methods, the path integral allows one to easily change...
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  • Thumbnail for Usha Kulshreshtha
    light-front quantization of quantum field theory models, string theory models and D-brane actions using the Hamiltonian, path integral and BRST quantization methods...
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  • Thumbnail for Wightman axioms
    up using Klein transformations. See parastatistics and also the ghosts in BRST. The impossibility of superluminal communication – if two observers are spacelike...
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  • Thumbnail for Zero-point energy
    "particles" are actually created: spontaneous emission. Dirac described the quantization of the electromagnetic field as an ensemble of harmonic oscillators with...
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