Exact form factors of the O(N) σ-model

被引：10

作者：

Babujian, Hrachya M. ^{[1
]}

Foerster, Angela ^{[2
]}

Karowski, Michael ^{[3
]}

机构：

[1] Yerevan Phys Inst, Yerevan 375036, Armenia

[2] Univ Fed Rio Grande do Sul, Inst Fis, Porto Alegre, RS, Brazil

[3] Inst Theoret Phys, D-14195 Berlin, Germany

来源：

JOURNAL OF HIGH ENERGY PHYSICS | 2013年 / 11期

关键词：

Exact S-Matrix; Bethe Ansatz; Integrable Field Theories; Sigma Models; QUANTUM-FIELD THEORIES; BETHE-ANSATZ SOLUTION; S-MATRIX; EXPONENTIAL FIELDS; DIMENSIONS; O(3); CONSTRUCTION; EQUATIONS; OPERATORS;

D O I：

10.1007/JHEP11(2013)089

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：

A general form factor formula for the O(N) sigma-model is constructed and applied to several operators. The large N limits of these form factors are computed and compared with the 1/N expansion of the O(N) sigma-model in terms of Feynman graphs and full agreement is found. In particular, O(3) and O(4) form factors are discussed. For the O(3) sigma-model several low particle form factors are calculated explicitly.

引用

页数：53

共 45 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]

[Anonymous], 1992, ADV SERIES MATH PHYS

[3] Matrix difference equations and a nested Bethe ansatz [J].

Babujian, H ;

Karowski, M ;

Zapletal, A .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1997, 30 (18) :6425-6450

[4] Exact form factors in integrable quantum field theories: the sine-Gordon model [J].

Babujian, H ;

Fring, A ;

Karowski, M ;

Zapletal, A .

NUCLEAR PHYSICS B, 1999, 538 (03) :535-586

[5] The nested SU(N) off-shell Bethe ansatz and exact form factors [J].

Babujian, H. ;

Foerster, A. ;

Karowski, M. .

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2008, 41 (27)

[6]

Babujian H.M., ARXIV12043479

[7]

Babujian H. M., ASYMPTOTIC IN PRESS

[8]

Babujian H.M., 1990, GOSEN 1990, P12

[9] OFF-SHELL BETHE-ANSATZ EQUATIONS AND N-POINT CORRELATORS IN THE SU(2) WZNW THEORY [J].

BABUJIAN, HM .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1993, 26 (23) :6981-6990

[10] O(N)-matrix difference equations and a nested Bethe ansatz [J].

Babujian, Hrachya M. ;

Foerster, Angela ;

Karowski, Michael .

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2012, 45 (05)

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