Vertex corrections to vacuum polarization in hadronic field theories

Journal Article · Mon Jun 01 04:00:00 EDT 1992 · Physical Review, C (Nuclear Physics); (United States)

DOI:https://doi.org/10.1103/PhysRevC.45.2975· OSTI ID:7106562

Allendes, M P; Serot, B D ^[1]

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1. Physics Department and Nuclear Theory Center, Indiana University, Bloomington, Indiana 47405 (United States)

Vacuum polarization is studied in a model with neutral vector mesons and Dirac baryons. The lowest-order polarization is known to produce a ghost pole when it is summed to all orders in the vector meson propagator. It is also known that the infrared structure of the meson-baryon ({ital NN}{omega}) vertex in this model produces a proper vertex function that is strongly damped at large spacelike momentum transfer; this is analogous to the result first derived by Sudakov in quantum electrodynamics. When the model vertex function is approximated by its on-shell form and combined with the lowest-order polarization, the vacuum contributions are significantly reduced. The resulting random-phase approximation meson propagator has no ghost pole and is finite at large spacelike momenta. Implications and perspectives of this result and necessary extensions of this calculation are also discussed.

• DOE Contract Number: FG02-87ER40365
• OSTI ID: 7106562
• Journal Information: Physical Review, C (Nuclear Physics); (United States), Journal Name: Physical Review, C (Nuclear Physics); (United States) Vol. 45:6; ISSN 0556-2813; ISSN PRVCA
• Country of Publication: United States
• Language: English

Related Subjects

662110* -- General Theory of Particles & Fields-- Theory of Fields & Strings-- (1992-)
663110 -- General & Average Properties of Nuclei & Nuclear Energy Levels-- (1992-)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
BOSONS
ELEMENTARY PARTICLES
FUNCTIONS
HADRONS
MATTER
MESONS
NUCLEAR FORCES
NUCLEAR MATTER
PROPAGATOR
RANDOM PHASE APPROXIMATION
VACUUM POLARIZATION
VECTOR MESONS
VERTEX FUNCTIONS