Structure of light-front vacuum sector diagrams

Journal Article · 06 September 2019 · Physics Letters B

DOI: https://doi.org/10.1016/j.physletb.2019.134916 · OSTI ID:1560703

Mannheim, Philip D. ^[1]; Lowdon, Peter ^[2]; Brodsky, Stanley J. ^[3]

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1. Univ. of Connecticut, Storrs, CT (United States)
2. Ecole polytechnique, Palaiseau (France)
3. Stanford Univ., Menlo Park, CA (United States)

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 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 light-front 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.

• Research Organization: SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States)
• Sponsoring Organization: USDOE
• Grant/Contract Number: AC02-76SF00515
• OSTI ID: 1560703
• Alternate ID(s): OSTI ID: 1576514
• Journal Information: Physics Letters B, Vol. 797, Issue C; ISSN 0370-2693
• Publisher: ElsevierCopyright Statement
• Country of Publication: United States
• Language: English