Genus-2 free energy of the closed bosonic string

Journal Article · Thu Jun 15 00:00:00 EDT 1989 · Phys. Rev. D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.39.3731· OSTI ID:6014338

Leblanc, Y

Making use of the recently developed real-time finite-temperature formalism for string theory, we obtain an explicit expression for the Helmholtz free energy of a closed-bosonic-string gas in the genus-2 approximation. Our computation takes advantage of the modern Becchi-Rouet-Stora-Tyutin-invariant operator formalism for multiloop amplitudes and can be readily extended to arbitrary genus. We find some disagreement with previous results obtained through the imaginary-time (compactification) technique extended to higher-genus Riemann surfaces. Our comparison with the imaginary-time formalism is based on the McClain-Roth theorem. We mention a possible remedy to the latter technique in order to get correct results.

• Research Organization: Center for Theoretical Physics, Laboratory for Nuclear Science dge, Massachusetts 02139(US)
• OSTI ID: 6014338
• Journal Information: Phys. Rev. D; (United States), Vol. 39:12
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
BOSONS
STRING MODELS
BOUNDARY CONDITIONS
FREE ENERGY
PHASE TRANSFORMATIONS
PROPAGATOR
SCATTERING AMPLITUDES
SYMMETRY BREAKING
VACUUM STATES
AMPLITUDES
COMPOSITE MODELS
ENERGY
EXTENDED PARTICLE MODEL
MATHEMATICAL MODELS
PARTICLE MODELS
PHYSICAL PROPERTIES
QUARK MODEL
THERMODYNAMIC PROPERTIES
645400* - High Energy Physics- Field Theory
640106 - Astrophysics & Cosmology- Cosmology