Kurt Symanzik - a stable fixed point beyond triviality

被引:19
作者
Kleefeld, F [1 ]
机构
[1] Univ Tecn Lisboa, CFIC, Inst Super Tecn, P-1049001 Lisbon, Portugal
来源
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 2006年 / 39卷 / 01期
关键词
D O I
10.1088/0305-4470/39/1/L02
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
In 1970 Kurt Symanzik proposed a 'precarious' phi(4) -theory with a negative quartic coupling constant as a valid candidate for an asymptotically free theory of strong interactions. Symanzik's deep insight into the non-trivial properties of this theory has been overruled since then by the Hermitian intuition of generations of scientists, who considered or consider this actually non-Hermitian highly important theory to be unstable. This short-certainly controversial-communication tries to shed some light on the historical and formalistic context of Symanzik's theory in order to sharpen our (quantum) intuition about non-perturbative theoretical physics between (non-)triviality and asymptotic freedom.
引用
收藏
页码:L9 / L15
页数:7
相关论文
共 87 条
[11]   Extension of PT-symmetric quantum mechanics to quantum field theory with cubic interaction -: art. no. 025001 [J].
Bender, CM ;
Brody, DC ;
Jones, HF .
PHYSICAL REVIEW D, 2004, 70 (02) :025001-1
[12]   Complex extension of quantum mechanics [J].
Bender, CM ;
Brody, DC ;
Jones, HF .
PHYSICAL REVIEW LETTERS, 2002, 89 (27)
[13]   Must a Hamiltonian be Hermitian? [J].
Bender, CM ;
Brody, DC ;
Jones, HF .
AMERICAN JOURNAL OF PHYSICS, 2003, 71 (11) :1095-1102
[14]   Complex extension of quantum mechanics (vol 89, art no 270401, 2002) [J].
Bender, CM ;
Brody, DC ;
Jones, HF .
PHYSICAL REVIEW LETTERS, 2004, 92 (11)
[15]   Real spectra in non-Hermitian Hamiltonians having PT symmetry [J].
Bender, CM ;
Boettcher, S .
PHYSICAL REVIEW LETTERS, 1998, 80 (24) :5243-5246
[16]   PT-symmetric quantum mechanics [J].
Bender, CM ;
Boettcher, S ;
Meisinger, PN .
JOURNAL OF MATHEMATICAL PHYSICS, 1999, 40 (05) :2201-2229
[17]   Bound states of non-Hermitian quantum field theories [J].
Bender, CM ;
Boettcher, S ;
Jones, HF ;
Meisinger, PN ;
Simsek, M .
PHYSICS LETTERS A, 2001, 291 (4-5) :197-202
[18]   Chiral symmetry breaking and scalar string confinement [J].
Bicudo, P ;
Marques, GM .
PHYSICAL REVIEW D, 2004, 70 (09)
[19]   RENORMALIZATION OF MASSLESS LAMBDA-PHI-4 THEORIES - ASYMPTOTIC FREEDOM AND SPONTANEOUS SYMMETRY-BREAKING [J].
BRANCHINA, V ;
CONSOLI, M ;
STIVALA, NM .
ZEITSCHRIFT FUR PHYSIK C-PARTICLES AND FIELDS, 1993, 57 (02) :251-266
[20]   NONTRIVIALITY OF SPONTANEOUSLY BROKEN LAMBDA-PHI-4 THEORIES [J].
BRANCHINA, V ;
CASTORINA, P ;
CONSOLI, M ;
ZAPPALA, D .
PHYSICAL REVIEW D, 1990, 42 (10) :3587-3590