Finite size Nambu-Goto string occupied by scalar fields at an arbitrary temperature

Journal Article · Tue Feb 15 04:00:00 EST 1994 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.49.1966· OSTI ID:5265754

Antillon, A; German, G ^[1]

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1. Instituto de Fisica, Universidad Nacional Autonoma de Mexico, Apartado Postal 139-2, 62191 Cuernavaca, Morelos (Mexico)

The Nambu-Goto string occupied by a set of scalar fields is studied at finite length and temperature. The string tension for a finite string turns out to be nonvanishing for any value of the temperature reaching a minimum value [ital [tilde M]] [sup 2]([ital r],[tau])[sub min] for a maximum temperature [tau][sub dec][sup max]. In the limit of an infinitely long string the tension vanishes at the deconfinement temperature [tau][sub dec]. Thus it might be that the minimum value of the tension occurring at [tau][sub dec][sup max] is a signal for a first-order transition (the correlation length being finite) to a deconfined phase with a vanishing tension. The static quark-antiquark potential also shows interesting behavior with the deconfinement radius [ital r][sub dec] being independent of the temperature, depending only on the normalized scalar mass parameter [mu]. When [tau] approaches [tau][sub dec] the potential becomes flat for large distances, thus losing its confining'' linear character to an unconfining constant. For [tau][gt][tau][sub dec] the potential still exists up to a certain maximum separation between quarks where a bifurcating solution appears. This point might represent the breaking of the string and the bifurcating solution, being more energetic, is an excited string.

• OSTI ID: 5265754
• Journal Information: Physical Review, D (Particles Fields); (United States), Journal Name: Physical Review, D (Particles Fields); (United States) Vol. 49:4; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

662110* -- General Theory of Particles & Fields-- Theory of Fields & Strings-- (1992-)
662230 -- Quantum Chromodynamics-- (1992-)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CALCULATION METHODS
COMPOSITE MODELS
CONFINEMENT
DIMENSIONS
EXTENDED PARTICLE MODEL
FIELD THEORIES
FUNCTIONS
INTERACTIONS
LENGTH
LIE GROUPS
MATHEMATICAL MODELS
MONTE CARLO METHOD
PARTICLE INTERACTIONS
PARTICLE MODELS
PARTITION FUNCTIONS
QUANTUM CHROMODYNAMICS
QUANTUM FIELD THEORY
QUARK MODEL
QUARK-ANTIQUARK INTERACTIONS
REGGE TRAJECTORIES
SCALAR FIELDS
STRING MODELS
SU GROUPS
SU-3 GROUPS
SYMMETRY GROUPS
TEMPERATURE DEPENDENCE