Finite size Nambu-Goto string occupied by scalar fields at an arbitrary temperature
19949 pages
Published in:
- Phys.Rev.D 49 (1994) 1966-1974
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Abstract: (APS)
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 M̃ 2(r,τ)min for a maximum temperature τdecmax. In the limit of an infinitely long string the tension vanishes at the deconfinement temperature τdec. Thus it might be that the minimum value of the tension occurring at τdecmax 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 rdec being independent of the temperature, depending only on the normalized scalar mass parameter μ. When τ approaches τdec the potential becomes flat for large distances, thus losing its ‘‘confining’’ linear character to an unconfining constant. For τ>τdec 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.- string model: boson
- field theory: scalar
- finite temperature
- effect: finite size
- string tension
- quark antiquark: potential
- numerical calculations
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