二维可积共形场论中s矩阵的泛函积分表示

IF 0.4 4区物理与天体物理 Q4 PHYSICS, MULTIDISCIPLINARY

Journal of Contemporary Physics (Armenian Academy of Sciences) Pub Date : 2025-10-07 DOI:10.1134/S1068337225700458

D. Das, G. Jorjadze, L. Megrelidze

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引用次数: 0

摘要

研究了Liouville理论、SL(2，R)/U(1) WZW理论和SL(3，R) Toda理论中的半经典散射，利用这些理论中手性电流定义的内外场之间的关系。利用这些关系，我们研究了对应于半经典s矩阵的生成泛函F。特别地，我们以一个封闭的形式构造F的勒让德变换。这三种理论的构造方案相似，得到的泛函具有紧凑的形式。这为这些理论中s矩阵的泛函积分表示提供了基础，而这在以前仅为Liouville理论所知。

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Functional Integral Representation for the S-Matrix in Integrable 2D Conformal Field Theories

We study semiclassical scattering in Liouville theory, in SL(2,R)/U(1) WZW theory and in SL(3,R) Toda theory, using the relations between the in and out fields defined by the chiral currents of these theories. By these relations we investigate the generating functional F that corresponds to the semiclassical S-matrix. In particular, we construct the Legendre transform of F in a closed form. The construction scheme is similar for these three theories and the obtained functionals have a compact form. This provides a basis for the functional integral representation of the S-matrix in these theories, which earlier was known only for Liouville theory.

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来源期刊

Journal of Contemporary Physics (Armenian Academy of Sciences) PHYSICS, MULTIDISCIPLINARY-

CiteScore

1.00

自引率

66.70%

发文量

审稿时长

6-12 weeks

期刊介绍： Journal of Contemporary Physics (Armenian Academy of Sciences) is a journal that covers all fields of modern physics. It publishes significant contributions in such areas of theoretical and applied science as interaction of elementary particles at superhigh energies, elementary particle physics, charged particle interactions with matter, physics of semiconductors and semiconductor devices, physics of condensed matter, radiophysics and radioelectronics, optics and quantum electronics, quantum size effects, nanophysics, sensorics, and superconductivity.