An improved mean field approximation on the worldsheet for planar φ3 theory

被引:13
作者
Bardakci, K [1 ]
Thorn, CB
机构
[1] Univ Calif Berkeley, Dept Phys, Berkeley, CA 94720 USA
[2] Univ Calif Berkeley, Lawrence Berkeley Natl Lab, Theoret Phys Grp, Berkeley, CA 94720 USA
[3] Univ Florida, Inst Fundamental Theory, Dept Phys, Gainesville, FL 32611 USA
关键词
D O I
10.1016/S0550-3213(03)00343-2
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
We present an improved version of our earlier work on summing the planar graphs in 03 field theory. The present treatment is also based on our world sheet formalism and the mean field approximation, but it makes use of no further approximations. We derive a set of equations between the expectation values of the world sheet fields, and we investigate them in certain limits. We show that the equations can give rise to (metastable) string forming solutions. (C) 2003 Elsevier Science B.V. All rights reserved.
引用
收藏
页码:235 / 256
页数:22
相关论文
共 10 条
[1]   Large N field theories, string theory and gravity [J].
Aharony, O ;
Gubser, SS ;
Maldacena, J ;
Ooguri, H ;
Oz, Y .
PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 2000, 323 (3-4) :183-386
[2]   A worldsheet description of large Nc quantum field theory [J].
Bardakci, K ;
Thorn, CB .
NUCLEAR PHYSICS B, 2002, 626 (1-2) :287-306
[3]  
BARDAKCI K, HEPTH0206205
[4]   A semi-classical limit of the gauge/string correspondence [J].
Gubser, SS ;
Klebanov, IR ;
Polyakov, AM .
NUCLEAR PHYSICS B, 2002, 636 (1-2) :99-114
[5]  
GUDMUNDSSON S, HEPTH0209102
[6]   The large-N limit of superconformal field theories and supergravity [J].
Maldacena, J .
INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 1999, 38 (04) :1113-1133
[7]   A PARTON VIEW ON DUAL AMPLITUDES [J].
NIELSEN, HB ;
OLESEN, P .
PHYSICS LETTERS B, 1970, B 32 (03) :203-&
[8]   DYNAMICAL MODEL OF DUAL AMPLITUDES [J].
SAKITA, B ;
VIRASORO, MA .
PHYSICAL REVIEW LETTERS, 1970, 24 (20) :1146-&
[9]   PLANAR DIAGRAM THEORY FOR STRONG INTERACTIONS [J].
THOOFT, G .
NUCLEAR PHYSICS B, 1974, B 72 (03) :461-473
[10]   A worldsheet description of planar Yang-Mills theory [J].
Thorn, CB .
NUCLEAR PHYSICS B, 2002, 637 (1-3) :272-292