On the nonrelativistic limit of the phi(4) theory in 2+1 dimensions

被引：7

作者：

Gomes, M

Malbouisson, JMC

DaSilva, AJ

机构：

[1] Institute de Fisica, Universidade de Sao Paulo, 05315-970, Sao Paulo, SP

[2] Instituto de Física, Universidade Federal da Bahia

来源：

MODERN PHYSICS LETTERS A | 1996年 / 11卷 / 36期

关键词：

D O I：

10.1142/S0217732396002812

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We study the nonrelativistic limit of the quantum theory of a real scalar field with quartic self-interaction. The two-body scattering amplitude is written in such way as to separate the contributions of high and low energy intermediary states. From this result and the two-loop computation of the self-energy correction, we determine an effective nonrelativistic action.

引用

页码：2825 / 2836

页数：12

共 13 条

[1] LAMBDA-PHI-4 THEORY IN THE NONRELATIVISTIC LIMIT [J].

BEG, MAB ;

FURLONG, RC .

PHYSICAL REVIEW D, 1985, 31 (06) :1370-1373

[2] NONRELATIVISTIC FIELD-THEORETIC SCALE ANOMALY [J].

BERGMAN, O .

PHYSICAL REVIEW D, 1992, 46 (12) :5474-5478

[3] AHARONOV-BOHM SCATTERING, CONTACT INTERACTIONS, AND SCALE-INVARIANCE [J].

BERGMAN, O ;

LOZANO, G .

ANNALS OF PHYSICS, 1994, 229 (02) :416-427

[4]

Bjorken J. D., 1964, RELATIVISTIC QUANTUM

[5] SOME GENERALIZATIONS OF THE FOLDY-WOUTHUYSEN TRANSFORMATION [J].

CASE, KM .

PHYSICAL REVIEW, 1954, 95 (05) :1323-1328

[6] ON THE DIRAC THEORY OF SPIN 1/2 PARTICLES AND ITS NON-RELATIVISTIC LIMIT [J].

FOLDY, LL ;

WOUTHUYSEN, SA .

PHYSICAL REVIEW, 1950, 78 (01) :29-36

[7]

FRADKIN E, 1991, FIELD THEORIES CONDE

[8] GALILEAN-INVARIANT GAUGE-THEORY [J].

HAGEN, CR .

PHYSICAL REVIEW D, 1985, 31 (04) :848-855

[9] SCALE ANOMALIES IN NONRELATIVISTIC FIELD-THEORIES IN 2+1 DIMENSIONS [J].

HAUGSET, T ;

RAVNDAL, F .

PHYSICAL REVIEW D, 1994, 49 (08) :4299-4301

[10] CLASSICAL AND QUANTAL NONRELATIVISTIC CHERN-SIMONS THEORY [J].

JACKIW, R ;

PI, SY .

PHYSICAL REVIEW D, 1990, 42 (10) :3500-3513

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