REPARAMETERIZATION INVARIANCE CONSTRAINTS ON HEAVY PARTICLE EFFECTIVE FIELD-THEORIES

被引:302
作者
LUKE, M
MANOHAR, AV
机构
[1] Department of Physics 0319, University of California, San Diego, La Jolla, CA 92093-0319
基金
美国国家科学基金会;
关键词
D O I
10.1016/0370-2693(92)91786-9
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
Since fields in the heavy quark effective theory are described by both a velocity and a residual momentum, there is redundancy in the theory: small shifts in velocity may be absorbed into a redefinition of the residual momentum. We demonstrate that this trivial reparameterisation invariance has non-trivial consequences: it relates coefficients of terms of different orders in the 1/m expansion and requires linear combinations of these operators to be multiplicatively renormalised. For example, the operator -D2/2m in the effective lagrangian has zero anomalous dimension, coefficient one, and does not receive any non-perturbative contributions from matching conditions. We also demonstrate that this invariance severely restricts the forms of operators which may appear in chiral lagrangians for heavy particles.
引用
收藏
页码:348 / 354
页数:7
相关论文
共 27 条
[1]  
BURDMAN G, 1992, UMHEP365 U MASS PREP
[2]   SUPERFLAVOR SYMMETRY FOR HEAVY VECTOR-MESONS AND HEAVY QUARKS [J].
CARONE, CD .
PHYSICS LETTERS B, 1991, 253 (3-4) :408-410
[3]  
CHO P, 1992, HUTP90A012
[4]  
CHO P, 1992, SSCL111 PREPR
[5]  
CHO P, 1992, HUTP92A014 PREPR
[6]  
DUGAN MJ, 1991, HUTP91A045 PREPR
[7]   AN EFFECTIVE FIELD-THEORY FOR THE CALCULATION OF MATRIX-ELEMENTS INVOLVING HEAVY QUARKS [J].
EICHTEN, E ;
HILL, B .
PHYSICS LETTERS B, 1990, 234 (04) :511-516
[8]   STATIC EFFECTIVE FIELD-THEORY - 1-M CORRECTIONS [J].
EICHTEN, E ;
HILL, B .
PHYSICS LETTERS B, 1990, 243 (04) :427-431
[9]   HEAVY MESON FORM-FACTORS FROM QCD [J].
FALK, AF ;
GEORGI, H ;
GRINSTEIN, B ;
WISE, MB .
NUCLEAR PHYSICS B, 1990, 343 (01) :1-13
[10]  
FALK AF, 1992, SLACPUB5812