Currents and Ward-Takahashi identities for nonlocal quantum field theories

Journal Article · Mon Jul 01 04:00:00 EDT 1991 · Physical Review, C (Nuclear Physics); (USA)

DOI:https://doi.org/10.1103/PhysRevC.44.485· OSTI ID:5537663

Bos, J W ^[1]; Koch, J H ^[2]; Naus, H W.L. ^[3]

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1. National Institute for Nuclear Physics and High Energy Physics, Section K (NIKHEF-K), P. O. Box 41882, NL-1009DB Amsterdam, The Netherlands (NL)
2. National Institute for Nuclear Physics and High Energy Physics, Section K (NIKHEF-K), Amsterdam, The Netherlands (NL) Institute for Theoretical Physics, University of Amsterdam, 1018XE Amsterdam, The Netherlands (NL)
3. Institute for Theoretical Physics, University of Erlangen-Nuernberg, W-8520 Erlangen, Federal Republic of Germany (DE)

We consider a nonlocal quantum field theory, which can be used for the description of a composite particle, such as the nucleon interacting with its virtual pion field. Assuming a global symmetry of the theory, we discuss how to find the corresponding conserved currents. For the case of a U(1) symmetry, we then examine the conditions for second quantization and derive a general Ward-Takahashi identity. The formalism is then applied to the electromagnetic interaction.

• OSTI ID: 5537663
• Journal Information: Physical Review, C (Nuclear Physics); (USA), Journal Name: Physical Review, C (Nuclear Physics); (USA) Vol. 44:1; ISSN 0556-2813; ISSN PRVCA
• Country of Publication: United States
• Language: English

Related Subjects

645202 -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- Electromagnetic Interactions & Properties
645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BARYONS
BASIC INTERACTIONS
COMPOSITE MODELS
ELECTROMAGNETIC INTERACTIONS
ELEMENTARY PARTICLES
FERMIONS
FIELD THEORIES
GLOBAL ANALYSIS
HADRONS
INTERACTIONS
LIE GROUPS
MATHEMATICAL MODELS
MATHEMATICS
NUCLEONS
PARTICLE MODELS
QUANTUM FIELD THEORY
SYMMETRY GROUPS
U GROUPS
U-1 GROUPS
WARD IDENTITY