UNSTABLE PARTICLES IN FINITE VOLUME - THE BROKEN PHASE OF THE 4-D O(4) NONLINEAR SIGMA-MODEL

被引:8
|
作者
ZIMMERMANN, F
WESTPHALEN, J
GOCKELER, M
KASTRUP, HA
机构
[1] RHEIN WESTFAL TH AACHEN, INST THEORET PHYS E, W-5100 AACHEN, GERMANY
[2] FORSCHUNGSZENTRUM JULICH, HLRZ, W-5170 JULICH 1, GERMANY
关键词
D O I
10.1016/0920-5632(93)90347-9
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
According to a proposal of Luscher it is possible to determine elastic scattering phases in infinite volume from the energy spectrum of two-particle states in a periodic box. We demonstrate the applicability of this method in the broken phase of the 4-dimensional O(4) non-linear sigma-model in a Monte-Carlo study on finite lattices. This non-perturbative approach also permits the study of unstable particles, the sigma-particle in our case. We observe the sigma-resonance and extract its mass and its width.
引用
收藏
页码:879 / 882
页数:4
相关论文
共 50 条
  • [21] On a structure of the one-loop divergences in 4D harmonic superspace sigma-model
    I. L. Buchbinder
    A. S. Budekhina
    B. S. Merzlikin
    The European Physical Journal C, 2022, 82
  • [22] EQUIVALENCE OF THE PATH-INTEGRAL THEORY OF SPINNING PARTICLES AND THE TOPOLOGICAL NONLINEAR SIGMA-MODEL IN D=2-DIMENSIONS
    FRADKIN, E
    MORENO, E
    SCHAPOSNIK, FA
    PHYSICAL REVIEW D, 1992, 45 (02): : 595 - 604
  • [23] 4-D SELF-DUAL INSTANTONS FROM 2-D SIGMA MODEL
    PARK, QH
    INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 1992, 7 : 781 - 789
  • [24] The 4d one component lattice φ4 model in the broken phase revisited
    Balog, J
    Duncan, A
    Willey, R
    Niedermayer, F
    Weisz, P
    NUCLEAR PHYSICS B, 2005, 714 (03) : 256 - 268
  • [25] AN INFRARED FIXED-POINT AND RENORMALIZABILITY OF 2-DIM-O(4) NONLINEAR SIGMA-MODEL WITH WESS-ZUMINO TERM
    KURAMOTO, T
    PROGRESS OF THEORETICAL PHYSICS, 1986, 76 (01): : 203 - 215
  • [26] Quantum Hall skyrmions in the framework of O(4) nonlinear sigma model
    Basu, B
    Dhar, S
    Bandyopadhyay, P
    INTERNATIONAL JOURNAL OF MODERN PHYSICS B, 2004, 18 (02): : 171 - 184
  • [27] FINITE SIZE EFFECTS AND SPONTANEOUSLY BROKEN SYMMETRIES - THE CASE OF THE O(4) MODEL
    HASENFRATZ, A
    JANSEN, K
    JERSAK, J
    LANG, CB
    LEUTWYLER, H
    NEUHAUS, T
    ZEITSCHRIFT FUR PHYSIK C-PARTICLES AND FIELDS, 1990, 46 (02): : 257 - 261
  • [28] The ground state of the nonlinear sigma model (O(4)3+1)
    Ligterink, NE
    Walet, NR
    Bishop, RF
    NUCLEAR PHYSICS B-PROCEEDINGS SUPPLEMENTS, 1998, 63 : 667 - 669
  • [30] THE CRITICAL O(N) SIGMA-MODEL AT DIMENSIONS 2-LESS-THAN-D-GREATER-THAN-4 - FUSION COEFFICIENTS AND ANOMALOUS DIMENSIONS
    LANG, K
    RUHL, W
    NUCLEAR PHYSICS B, 1993, 400 (1-3) : 597 - 623