Gauge theories on the light-front

Brodsky, Stanley J.

doi:10.1590/s0103-97332004000200003

Cited by 5 publications

(3 citation statements)

References 62 publications

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“…On the other hand the vertex ÿk; P in Eq. (23), evaluated at k ÿ q ÿ k ÿ q ÿ on for ÿk < 0, describes the quark-pion absorption through another interaction kernel K 0 and generates the nonvalence 2q2 q component of the final pion [see Fig. 7(c)].…”

Section: B Spacelike Case: the Pion Nonvalence Componentmentioning

confidence: 99%

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Spacelike and timelike pion electromagnetic form factor and Fock state components within the light-front dynamics

et al. 2006

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The simultaneous investigation of the pion electromagnetic form factor in the space-and timelike regions within a light-front model allows one to address the issue of nonvalence components of the pion and photon wave functions. Our relativistic approach is based on a microscopic vector-meson-dominance model for the dressed vertex where a photon decays in a quark-antiquark pair, and on a simple parametrization for the emission or absorption of a pion by a quark. The results show an excellent agreement in the space like region up to ÿ10 GeV=c 2 , while in timelike region the model produces reasonable results up to 10 GeV=c 2 .

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Section: B Spacelike Case: the Pion Nonvalence Componentmentioning

confidence: 99%

“…In LF dynamics for a fermionic system, vacuum phenomena, such as spontaneous chiral symmetry breaking, have their counterpart in the physics of the zero modes (see, e.g. [2,[23][24][25]). …”

Section: Introductionmentioning

confidence: 99%

Spacelike and timelike pion electromagnetic form factor and Fock state components within the light-front dynamics

et al. 2006

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“…The connection was done when Bardakci and Halpern showed that the so-called infinitum momentum frame could be interpreted as a LF coordinates change [15] allowing Kogut and Soper to establish the initial foundations of quantum electrodynamics in the infinite momentum frame [16]. Since then, LF quantization methods have been consistently applied to QCD both in the perturbative and non-perturbative regimes as can be seen for instance in the representative reference works [17,18,19,20,21] or comprehensive reviews [22,23,24,25,26,27]. It is worth mentioning that connections between the LF and instant forms through an interesting interpolating scheme appeared in the initial works by Hornbostel [28] and C. R. Ji and C. Mitchell [29] and have been recently more deeply explored in references [30,31,32,33].…”

Section: Introductionmentioning

confidence: 99%

Bopp-Podolsky Scalar Electrodynamics Propagators and Energy-Momentum Tensor in Covariant and Light-Front Coordinates

Oliveira¹,

Sales²,

Thibes³

2020

Preprint

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We consider the interaction between a charged scalar boson and the Bopp-Podolsky gauge fields. The Bopp-Podolsky (BP) electrodynamics possesses both massive and massless propagation modes for the photon, while preserving gauge invariance. We obtain the propagator of all fields present in the model for the higher-order generalizations of the linear covariant, light-front and doubly transverse light-front gauges. Although BP's original model is described by a higher-order derivatives Lagrangian, it is possible to work with an equivalent reduced-order version by means of the introduction of an auxiliary vector field. We compute the gauge-invariant improved energy-momentum tensor for the full reduced-order interacting BP model. Besides the more traditional front-form view, we also discuss the light-front perspective in both versions of the model. Within a Lagrangian framework approach we maintain explicit covariance at all steps and show that the field propagators, as well as the energy-momentum tensor, can be cast into a light-front closed form using specific properties of general coordinate transformations.

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The canonical structure of Podolsky's generalized electrodynamics on the null-plane

Bertin

Pimentel

Zambrano

2011

Journal of Mathematical Physics

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In this work we will develop the canonical structure of Podolsky's generalized electrodynamics on the nullplane. This theory has second-order derivatives in the Lagrangian function and requires a closer study for the definition of the momenta and canonical Hamiltonian of the system. On the null-plane the field equations also demand a different analysis of the initial-boundary value problem and proper conditions must be chosen on the null-planes. We will show that the constraint structure, based on Dirac formalism, presents a set of second-class constraints, which are exclusive of the analysis on the null-plane, and an expected set of first-class constraints that are generators of a U (1) group of gauge transformations. An inspection on the field equations will lead us to the generalized radiation gauge on the null-plane, and Dirac Brackets will be introduced considering the problem of uniqueness of these brackets under the chosen initial-boundary condition of the theory. * mcbertin@ift.unesp.br. †

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Gauge theories on the light-front

Cited by 5 publications

References 62 publications

Spacelike and timelike pion electromagnetic form factor and Fock state components within the light-front dynamics

Spacelike and timelike pion electromagnetic form factor and Fock state components within the light-front dynamics

Bopp-Podolsky Scalar Electrodynamics Propagators and Energy-Momentum Tensor in Covariant and Light-Front Coordinates

The canonical structure of Podolsky's generalized electrodynamics on the null-plane

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