About: Liouville field theory

Facets (new session)
Description
Metadata
Settings
- Rule:
- Inverse Functional Properties:
- "Same As":

About: Liouville field theory Goto Sponge NotDistinct Permalink

An Entity of Type : owl:Thing, within Data Space : dbpedia.org associated with source document(s)
QRcode icon

http://dbpedia.org/describe/?url=http%3A%2F%2Fdbpedia.org%2Fresource%2FLiouville_field_theory

In physics, Liouville field theory (or simply Liouville theory) is a two-dimensional conformal field theory whose classical equation of motion is a generalization of Liouville's equation. Liouville theory is defined for all complex values of the central charge of its Virasoro symmetry algebra, but it is unitary only if , and its classical limit is . Although it is an interacting theory with a continuous spectrum, Liouville theory has been solved. In particular, its three-point function on the sphere has been determined analytically.

Attributes	Values
rdfs:label	Théorie de Liouville (fr) Liouville field theory (en) 리우빌 장론 (ko) リウヴィル場理論 (ja) Teoria de campo de Liouville (pt)
rdfs:comment	In physics, Liouville field theory (or simply Liouville theory) is a two-dimensional conformal field theory whose classical equation of motion is a generalization of Liouville's equation. Liouville theory is defined for all complex values of the central charge of its Virasoro symmetry algebra, but it is unitary only if , and its classical limit is . Although it is an interacting theory with a continuous spectrum, Liouville theory has been solved. In particular, its three-point function on the sphere has been determined analytically. (en) La théorie de Liouville propose un modèle particulier de théorie des cordes dont l'espace cible est de dimension 2. (fr) 양자장론에서 리우빌 장론(Liouville場論, 영어: Liouville field theory)은 비임계 끈 이론의 세계면 이론으로 등장하는 2차원 등각 장론이다.무리 등각 장론의 대표적인 예이며, 1차장들의 스펙트럼이 연속적이다. 모든 상관 함수들이 알려져 있다. (ko) 物理学におけるリウヴィル場理論（あるいは単にリウヴィル理論、英: Liouville field theory, Liouville theory）とは、2-次元の場の量子論で、古典的な運動方程式がジョゼフ・リウヴィルのリーマン面を統一する古典的な幾何学的問題で現れる非線型第二階微分方程式となっている場の量子論を言う。この場の理論は次の局所的な作用で定義される。ここには 2次元の空間の計量であり、この面の上に場の理論が定式化される。R はこの面のリッチスカラーであり、b は実数の結合定数である。場 φ は、結局、リウヴィル場を考えている。この作用に付随する運動方程式は、で、ここには、そのような空間の中のダランベール演算子（ダランベール作用素）である（また、ラプラス作用素も参照のこと）。空間の計量がユークリッド計量の場合は、標準的な記法を使い、この方程式が古典的なリウヴィル方程式となる。リウヴィル場理論は、非有理な共形場理論と呼ばれる理論の最も理解がなされている例の一つで、いくつかの観測可能量が明確な方法で計算することができる。この計算は、球のトポロジーのプライマリ作用素の 2点相関函数、3点相関函数の場合である。トーラス上の分配函数やディスク上の 1点相関函数のような、他のトポロジーの上で定義された理論の観測可能量の明確な表現も、最近計算された。 (ja) Na física, teoria de campo de Liouville, ou simplesmente (teoria de Liouville) é uma teoria quântica de campos bidimensional cuja equação clássica de movimento se assemelha a equação diferencial não-linear de segunda ordem de Joseph Liouville a que aparece no problema geométrico clássico de uniformização de superfícies de Riemann. A teoria de campo é definida pela ação local: onde é a métrica do espaço bidimensional em que a teoria de campo é formulada, é o escalar Ricci de tal espaço, e é um acoplamento constante real. O campo é consequentemente chamado de campo Liouville. (pt)
foaf:depiction
dcterms:subject	Differential geometry String theory Conformal field theory
Wikipage page ID	31224296 (xsd:integer)
Wikipage revision ID	1121257729 (xsd:integer)
Link from a Wikipage to another Wikipage	Minimal model (physics) Euclidean metric Antti Kupiainen Path integral formulation Riemann surface Curved space Vacuum state Instanton Two-dimensional space Differential geometry String theory Complex number Conformal symmetry Coupling constant S-matrix Gaussian free field Operator product expansion Classical limit Gauge theories General relativity Gibbs measure Momentum Conformal bootstrap Conformal dimension Conformal field theory Conformal map Continuous spectrum Correlation function Lagrangian (field theory) Liouville's equation String theory Complex coordinate space Partition function (quantum field theory) Physics Pole (complex analysis) Polyakov action Spectrum (functional analysis) Tachyon Massless free scalar bosons in two dimensions Conformal field theory Torus Drinfeld–Sokolov–Wilson equation Modular invariance Action (physics) Duality (mathematics) Parameter Central charge Dilaton Primary field Quanta Magazine Quantum gravity Reflection (mathematics) Representation (mathematics) Residue (complex analysis) AGT correspondence Laplace operator Jackiw–Teitelboim gravity Toda field theory Bosonic string theory CGHS model Sphere Free field Energy–momentum tensor Cartan matrix Sine-Gordon equation Uniformization theorem Verma module Virasoro algebra Conformal invariance Metric (mathematics) Supersymmetry W-algebra Superconformal algebra Wess–Zumino–Witten model Multiple gamma function Random energy model Two-dimensional conformal field theory Virasoro conformal block Equation of motion Crossing symmetry Einstein equations Ricci scalar Marginal operator

Faceted Search & Find service v1.17_git139 as of Feb 29 2024

Alternative Linked Data Documents: ODE Content Formats:

RDF

ODATA

Microdata

About

OpenLink Virtuoso version 08.03.3330 as of Mar 19 2024, on Linux (x86_64-generic-linux-glibc212), Single-Server Edition (378 GB total memory, 50 GB memory in use)
Data on this page belongs to its respective rights holders.
Virtuoso Faceted Browser Copyright © 2009-2024 OpenLink Software