One-loop {lambda}{phi}{sup 4} field theory in Robertson-Walker spacetimes: Adiabatic regularization and analytic approximations

Journal Article · Thu Jun 15 00:00:00 EDT 2000 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PhysRevD.61.127501· OSTI ID:20216821

Molina-Paris, Carmen ^[1]; Anderson, Paul R ^[2]; Ramsey, Stephen A ^[3]

---

1. Theoretical Division T-8, Los Alamos National Laboratory, Los Alamos, New Mexico 87545 (United States)
2. Department of Physics, Wake Forest University, Winston-Salem, North Carolina 27109 (United States)
3. Genome Center, University of Washington, Seattle, Washington 98195-2145 (United States)

We study a scalar field with quartic self-coupling in a Robertson-Walker spacetime at one-loop order. A variation of the adiabatic regularization method is presented which leads to analytic approximations for the quantum energy-momentum tensor and the quantum contribution to the effective mass of the mean field. Conservation of the energy-momentum tensor for the field is discussed and it is shown that the full renormalized energy-momentum tensor is conserved as expected and required by the semiclassical Einstein's equation. It is also shown that if the analytic approximations are used, then the resulting approximate energy-momentum tensor is conserved. (c) 2000 The American Physical Society.

• OSTI ID: 20216821
• Journal Information: Physical Review. D, Particles Fields, Vol. 61, Issue 12; Other Information: PBD: 15 Jun 2000; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
PHI4-FIELD THEORY
SPACE-TIME
ENERGY-MOMENTUM TENSOR
RENORMALIZATION
EINSTEIN FIELD EQUATIONS
COSMOLOGICAL MODELS
THEORETICAL DATA