The ℤN symmetric quantum lattice field theory the quantum group symmetry, the Yang-Baxter equation, and the integrals of motion

Kazuhiro Hikami

doi:10.1143/JPSJ.68.55

The ℤ_N symmetric quantum lattice field theory the quantum group symmetry, the Yang-Baxter equation, and the integrals of motion

Kazuhiro Hikami

Research output: Contribution to journal › Article › peer-review

5 Citations (Scopus)

Abstract

We study the quantum group symmetry of the ℤ_N symmetric lattice field theory, which is viewed as a discretization of the sℓ(N) affine Toda field theory. We reveal the quantum group structure, and construct explicitly the quantum local integrals of motion by use of the quantum dilogarithm function.

Original language	English
Pages (from-to)	55-60
Number of pages	6
Journal	journal of the physical society of japan
Volume	68
Issue number	1
DOIs	https://doi.org/10.1143/JPSJ.68.55
Publication status	Published - Jan 1999
Externally published	Yes

All Science Journal Classification (ASJC) codes

Physics and Astronomy(all)

Access to Document

10.1143/JPSJ.68.55

Cite this

@article{1181a64ddf334aacae5d9600f0e90e37,

title = "The ℤN symmetric quantum lattice field theory the quantum group symmetry, the Yang-Baxter equation, and the integrals of motion",

abstract = "We study the quantum group symmetry of the ℤN symmetric lattice field theory, which is viewed as a discretization of the sℓ(N) affine Toda field theory. We reveal the quantum group structure, and construct explicitly the quantum local integrals of motion by use of the quantum dilogarithm function.",

author = "Kazuhiro Hikami",

year = "1999",

month = jan,

doi = "10.1143/JPSJ.68.55",

language = "English",

volume = "68",

pages = "55--60",

journal = "journal of the physical society of japan",

issn = "0031-9015",

publisher = "Physical Society of Japan",

number = "1",

}

TY - JOUR

T1 - The ℤN symmetric quantum lattice field theory the quantum group symmetry, the Yang-Baxter equation, and the integrals of motion

AU - Hikami, Kazuhiro

PY - 1999/1

Y1 - 1999/1

N2 - We study the quantum group symmetry of the ℤN symmetric lattice field theory, which is viewed as a discretization of the sℓ(N) affine Toda field theory. We reveal the quantum group structure, and construct explicitly the quantum local integrals of motion by use of the quantum dilogarithm function.

AB - We study the quantum group symmetry of the ℤN symmetric lattice field theory, which is viewed as a discretization of the sℓ(N) affine Toda field theory. We reveal the quantum group structure, and construct explicitly the quantum local integrals of motion by use of the quantum dilogarithm function.

UR - http://www.scopus.com/inward/record.url?scp=0033439541&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0033439541&partnerID=8YFLogxK

U2 - 10.1143/JPSJ.68.55

DO - 10.1143/JPSJ.68.55

M3 - Article

AN - SCOPUS:0033439541

SN - 0031-9015

VL - 68

SP - 55

EP - 60

JO - journal of the physical society of japan

JF - journal of the physical society of japan

IS - 1

ER -

The ℤ_N symmetric quantum lattice field theory the quantum group symmetry, the Yang-Baxter equation, and the integrals of motion

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this