Structure of light front vacuum sector diagrams

Abstract

We study the structure of scalar field light front quantization vacuum graphs. In instant time quantization both non-vacuum and vacuum graphs can equivalently be described by either the off-shell four-dimensional Feynman diagram approach or the on-shell three-dimensional Fock space approach, with this being the case since the relevant Feynman diagrams are given entirely by pole terms. This is also the case for light front quantization non-vacuum graphs. However this is the not the case for light front vacuum sector diagrams, since then there are also circle at infinity contributions to Feynman diagrams. These non-pole contributions cause vacuum diagrams to be nonzero and to not be given by a light-front Hamiltonian Fock space analysis. The three-dimensional approach thus fails in the light front vacuum sector. In consequence, the closely related infinite momentum frame approach also fails in the light front vacuum sector.

12 pages,

References in corpus (4)

• No-ghost theorem for the fourth-order derivative Pais-Uhlenbeck oscillator model
• Two-dimensional light-front ${\varphi }^4$ theory in a symmetric polynomial basis
• The non-triviality of the vacuum in light-front quantization: An elementary treatment
• Light-cone zero modes revisited

Cited by in corpus (9)

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• Singularities in Twist-3 Quark Distributions
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• Scattering in strong electromagnetic fields: transverse size effects in tBLFQ
• Equivalence of light-front quantization and instant-time quantization
• Tadpoles and vacuum bubbles in light-front quantization
• Color Confinement and Supersymmetric Properties of Hadron Physics from Light-Front Holography
• Entanglement and magic on the light-front
• Critical Coupling for Two-dimensional ${\varphi }^4$ Theory in Discretized Light-Cone Quantization