Off-shell dynamics of the O(3) NLS model beyond Monte Carlo and perturbation theory

被引:45
作者
Balog, J
Niedermaier, M
机构
[1] Res. Inst. for Particle and Nucl. P., Budapest
[2] Max-Planck-Institut fur Physik, Werner Heisenberg Institut, 80805 Munich
关键词
integrable quantum field theory; form factor approach; asymptotic freedom;
D O I
10.1016/S0550-3213(97)00314-3
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
The off-shell dynamics of the O(3) non-linear sigma model is probed in terms of spectral densities and two-point functions by means of the form factor approach. The exact form factors of the spin field, Noether current, EM tensor and the topological charge density are computed up to six particles. The corresponding n less than or equal to 6 particle spectral densities are used to compute the two-point functions, and are argued to deviate at most a few per mille from the exact answer in the entire energy range below 10(3) in units of the mass gap. To cover yet higher energies we propose an extrapolation scheme to arbitrary particle numbers based on a novel scaling hypothesis for the spectral densities. It yields candidate results for the exact two-point functions at all energy scales and allows us to exactly determine the values of two, previously unknown, non-perturbative constants. (C) 1997 Elsevier Science B.V.
引用
收藏
页码:421 / 461
页数:41
相关论文
共 72 条
[1]  
ABDALLA E, 1991, 2 DIMENSIONAL QFT
[2]   Form factors and correlation functions of the stress-energy tensor in massive deformation of the minimal models (E(n))(1)circle times(E(n))(1)/(E(n))(2) [J].
Acerbi, C ;
Valleriani, A ;
Mussardo, G .
INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 1996, 11 (30) :5327-5364
[3]   On the form factors of relevant operators and their cluster property [J].
Acerbi, C ;
Mussardo, G ;
Valleriani, A .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1997, 30 (09) :2895-2913
[4]  
ALLES B, HEPLAT9701001
[5]   Perturbative versus non-perturbative QFT lessons from the O(3) NLS model [J].
Balog, J ;
Niedermaier, M ;
Hauer, T .
PHYSICS LETTERS B, 1996, 386 (1-4) :224-232
[6]   POLYNOMIAL FORM-FACTORS IN THE O(3) NONLINEAR SIGMA-MODEL [J].
BALOG, J ;
HAUER, T .
PHYSICS LETTERS B, 1994, 337 (1-2) :115-121
[7]   FORM-FACTORS AND ASYMPTOTIC FREEDOM IN THE O(3) SIGMA-MODEL [J].
BALOG, J .
PHYSICS LETTERS B, 1993, 300 (1-2) :145-151
[8]   Scaling hypothesis for the spectral densities in the O(3) nonlinear sigma model [J].
Balog, J ;
Niedermaier, M .
PHYSICAL REVIEW LETTERS, 1997, 78 (22) :4151-4154
[9]  
BALOG J, UNPUB NLS MODEL
[10]   PHASE-TRANSITION IN NONLINEAR SIGMA MODEL IN A (2+ EPSILON-DIMENSIONAL CONTINUUM [J].
BARDEEN, WA ;
LEE, BW ;
SHROCK, RE .
PHYSICAL REVIEW D, 1976, 14 (04) :985-1005