Comparing the Nambu-Goto string with LGT results | Zendy

Michele Caselle | Zendy; Martin Hasenbusch | Zendy; Marco Panero | Zendy

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Comparing the Nambu-Goto string with LGT results

Author(s) -

Michele Caselle,

Martin Hasenbusch,

Marco Panero

Publication year - 2005

Publication title -

journal of high energy physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.998

H-Index - 261

eISSN - 1126-6708

pISSN - 1029-8479

DOI - 10.1088/1126-6708/2005/03/026

Subject(s) - zeta function regularization , deconfinement , regularization (linguistics) , physics , goto , string (physics) , correctness , monte carlo method , theoretical physics , statistical physics , gauge theory , gauge (firearms) , mathematical physics , mathematics , quantum mechanics , riemann zeta function , quantum chromodynamics , algorithm , computer science , pure mathematics , statistics , arithmetic zeta function , prime zeta function , artificial intelligence , programming language , archaeology , history

We discuss a way to evaluate the full prediction for the interquark potentialwhich is expected from the effective Nambu-Goto string model. We check thecorrectness of the prescription reproducing the results obtained with the zetafunction regularization for the first two perturbative orders. We compare thepredictions with existing Monte Carlo data for the (2+1) dimensional Z(2),SU(2) and SU(3) gauge theories: in the low temperature regime, we find goodagreement for large enough interquark distances, but an increasing mismatchbetween theoretical predictions and numerical results is observed as shorterand shorter distances are investigated. On the contrary, at high temperatures(approaching the deconfinement transition from below) a remarkable agreementbetween Monte Carlo data and the expectations from the Nambu-Goto effectivestring is observed for a wide range of interquark distances.Comment: 25 pages, 4 eps figures; added a reference, included remarks, corrected a typo; version accepted for publication in JHE

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