WARPED CONVOLUTIONS: A NOVEL TOOL IN THE CONSTRUCTION OF QUANTUM FIELD THEORIES

被引：25

作者：

Buchholz, Detlev ^{[1
]}

Summers, Stephen J. ^{[2
]}

机构：

[1] Univ Gottingen, Inst Theoret Phys, D-37077 Gottingen, Germany

[2] Univ Florida, Dept Math, Gainesville, FL 32611 USA

来源：

QUANTUM FIELD THEORY AND BEYOND: ESSAYS IN HONOR OF WOLFHART ZIMMERMANN | 2008年

关键词：

Quantum field theory; Constructive methods; Warped convolution;

D O I：

10.1142/9789812833556_0007

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Recently, Grosse and Lechner introduced a novel deformation procedure for non-interacting quantum field theories, giving rise to interesting examples of wedge-localized quantum fields with a non-trivial scattering matrix. In the present article we outline all extension of this procedure to the general framework of quantum field theory by introducing the concept of warped convolutions: given a theory, this construction provides wedge-localized operators which commute at spacelike distances, transform covariantly under the underlying representation of the Poincare group and admit a scattering theory. The corresponding scattering matrix is nontrivial but breaks the Lorentz symmetry, in spite of the covariance and wedge-locality properties of the deformed operators.

引用

页码：107 / +

页数：2

共 15 条

[1] Polarization-free generators and the S-matrix [J].

Borchers, HJ ;

Buchholz, D ;

Schroer, B .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2001, 219 (01) :125-140

[2] Modular localization and Wigner particles [J].

Brunetti, R ;

Guido, D ;

Longo, R .

REVIEWS IN MATHEMATICAL PHYSICS, 2002, 14 (7-8) :759-785

[3] Stable quantum systems in anti-de Sitter space: Causality, independence, and spectral properties [J].

Buchholz, D ;

Summers, SJ .

JOURNAL OF MATHEMATICAL PHYSICS, 2004, 45 (12) :4810-4831

[4] Modular nuclearity and localization [J].

Buchholz, D ;

Lechner, G .

ANNALES HENRI POINCARE, 2004, 5 (06) :1065-1080

[5] String- and brane-localized causal fields in a strongly nonlocal model [J].

Buchholz, Detlev ;

Summers, Stephen J. .

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2007, 40 (09) :2147-2163

[6] LOCAL ALGEBRAS OF OBSERVABLES AND POINTLIKE LOCALIZED FIELDS [J].

FREDENHAGEN, K ;

HERTEL, J .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1981, 80 (04) :555-561

[7]

GLIMM J., 1987, Quantum Physics. A functional integral point of view, V2nd

[8]

GROSSE H, 2007, JHEP, V711

[9]

Haag R., 1992, Local Quantum Physics

[10]

HEPP K, 1966, BRANDEIS U SUMMER I, P135

← 1 2 →