Consistency of Faddeev-Popov ghost statistics with gravitationally induced pair creation

Journal Article · Sat Dec 15 04:00:00 EST 1990 · Physical Review, D (Particles Fields); (USA)

DOI:https://doi.org/10.1103/PhysRevD.42.4078· OSTI ID:5697787

Higuchi, A ^[1]; Parker, L ^[2]; Wang, Y ^[3]

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1. Department of Physics and Astronomy, University of Maryland, College Park, MD (USA)
2. Department of Physics, University of Wisconsin, Milwaukee, WI (USA)
3. Department of Physics, University of Wisconsin, Madison, WI (USA)

It has been noted that Bose-Einstein statistics of a scalar field follows from gravitationally induced particle creation. We point out that Fermi-Dirac statistics is allowed when there are two or more scalar fields obeying the same field equation. We determine the general form of allowed anticommutation relations and find that the anticommutation relations satisfied by Faddeev-Popov ghosts fit into this form and, therefore, that they are consistent with particle creation caused by a gravitational background. A similar result is obtained for allowed (bosonic) commutation relations of spinor fields. These opposite spin-statistics relations require negative-norm states.

• OSTI ID: 5697787
• Journal Information: Physical Review, D (Particles Fields); (USA), Journal Name: Physical Review, D (Particles Fields); (USA) Vol. 42:12; ISSN PRVDA; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANGULAR MOMENTUM
BOSE-EINSTEIN STATISTICS
DIFFERENTIAL EQUATIONS
EQUATIONS
FERMI STATISTICS
FIELD EQUATIONS
FUNCTIONS
GAUGE INVARIANCE
GRAVITATIONAL FIELDS
INTERACTIONS
INVARIANCE PRINCIPLES
KLEIN-GORDON EQUATION
LAGRANGIAN FUNCTION
MATRICES
PAIR PRODUCTION
PARTIAL DIFFERENTIAL EQUATIONS
PARTICLE PRODUCTION
PARTICLE PROPERTIES
SCALAR FIELDS
SPACE-TIME
SPIN
SPINORS
WAVE EQUATIONS