Renormalization of the abelian Higgs-Kibble model

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

doi:10.1007/bf01614158

Cited by 1,178 publications

(1,032 citation statements)

References 11 publications

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“…Assume that M ′ ≤ M relations 6) are functionally independent on the others, and the remaining ones are either dependent or identically fulfilled. The independent φ m ′ are the socalled Lagrange constraints.…”

Section: Singular Lagrangean Systems 21 Singular Lagrangeansmentioning

confidence: 99%

“…and the time evolution is determined by 3.23 with primary Hamiltonian 6) and fundamental Poisson bracket…”

Section: Abelian Chern-simons Theory With Sourcesmentioning

confidence: 99%

“…The partial gauge fixing F 1 = g 00 + 1 = 0 and φ 1 form a conjugate second class pair and can be eliminated. Applying the standard procedure one finds then the following first order action 6) where the π µ are the momenta conjugated to the φ µ ,…”

Section: The Relativistic Particlementioning

confidence: 99%

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Hamilton's formalism for systems with constraints

Wipf¹

Canonical Gravity: From Classical to Quantum

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Section: Singular Lagrangean Systems 21 Singular Lagrangeansmentioning

confidence: 99%

“…and the time evolution is determined by 3.23 with primary Hamiltonian 6) and fundamental Poisson bracket…”

Section: Abelian Chern-simons Theory With Sourcesmentioning

confidence: 99%

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Hamilton's formalism for systems with constraints

Wipf¹

Canonical Gravity: From Classical to Quantum

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“…The BRS differential s controls the renormalization process of the standard Yang-Mills theory [BRS75]. The most economical way to introduce the BRS operator and the Faddeev Popov [FP67] ghost field c is to extend the differential d (2.10) and the Yang-Mills connection 1-form A (2.11) asd…”

Section: The Brs Differentialmentioning

confidence: 99%

Chiral-Yang-Mills theory, non commutative differential geometry, and the need for a Lie super-algebra

Thierry‐Mieg

2006

J. High Energy Phys.

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In Yang-Mills theory, the charges of the left and right massless Fermions are independent of each other. We propose a new paradigm where we remove this freedom and densify the algebraic structure of Yang-Mills theory by integrating the scalar Higgs field into a new gauge-chiral 1-form which connects Fermions of opposite chiralities. Using the Bianchi identity, we prove that the corresponding covariant differential is associative if and only if we gauge a Lie-Kac super-algebra. In this model, spontaneous symmetry breakdown naturally occurs along an odd generator of the super-algebra and induces a representation of the Connes-Lott non commutative differential geometry of the 2-point finite space.

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“…In order to study the stability [15] of the action (4) under the radiative corrections, one has to find the most general counterterm, Σ c , satisfying the following condition of BRS invariance:…”

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confidence: 99%

Algebraic renormalization of parity-preserving QED3 coupled to scalar matter II: broken case

et al. 1998

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In this letter the algebraic renormalization method, which is independent of any kind of regularization scheme, is presented for the parity-preserving QED 3 coupled to scalar matter in the symmetric regime, where the scalar assumes vanishing vacuum expectation value, ϕ =0. The model shows to be stable under radiative corrections and anomaly free.The study of gauge field theories in 3 space-time dimensions [1] has been well-supported by a possible field-theoretical approach to describe some Condensed Matter phenomena, such as High-T c Superconductivity and Quantum Hall Effect [2,3]. Some Abelian models have been proposed in this direction, namely, the QED 3 and τ 3 QED 3 [4,5].One of the interesting properties of 3-dimensional gauge field theories is the Landau gauge finiteness of non-Abelian Chern-Simons theories [6].The confinement of massive electrons in 3 space-time dimensions is a remarkable characteristic of this lower dimensional space [7]. Recently, it was shown by using the Bethe-Salpeter equations that in a parity-preserving QED 3 there are bound states in electron-positron systems, positronium states [8].In a recent work [9], a parity-preserving QED 3 with spontaneous breaking of a local U(1)-symmetry was proposed. The breakingdown is accomplished by a sixth-power potential. It was shown that electrons scattered in D=1+2 can experience a mutual attractive interaction, depending on their spin states, where the intermediate bosons involved in *

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Renormalization of the abelian Higgs-Kibble model

Cited by 1,178 publications

References 11 publications

Hamilton's formalism for systems with constraints

Hamilton's formalism for systems with constraints

Chiral-Yang-Mills theory, non commutative differential geometry, and the need for a Lie super-algebra

Algebraic renormalization of parity-preserving QED3 coupled to scalar matter II: broken case

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