Critical behavior in two-dimensional quantum gravity and equations of motion of the string

Journal Article · Thu May 10 00:00:00 EDT 1990 · Modern Physics Letters A; (USA)

DOI:https://doi.org/10.1142/S0217732390000895· OSTI ID:6546468

Das, S R; Dhar, A; Wadia, S R ^[1]

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1. Tata Inst. of Fundamental Research, Bombay (India)

The authors show how consistent quantization determines the renormalization of couplings in a quantum field theory coupled to gravity in two dimensions. The special status of couplings corresponding to conformally invariant matter is discussed. In string theory, where the dynamical degree of freedom of the two-dimensional metric plays the role of time in target space, these renormalization group equations are themselves the classical equations of motion. Time independent solutions, like classical vacuua, correspond to the situation in which matter is conformally invariant. Time dependent solutions, like tunnelling configurations between vacuua, correspond to special trajectories in theory space. The authors discuss an example of such a trajectory in the space containing the c {le} 1 minimal models. The authors also discuss the connection between this work and the recent attempts to construct non-pertubative string theories based on matrix models.

• OSTI ID: 6546468
• Journal Information: Modern Physics Letters A; (USA), Vol. 5:11; ISSN 0217-7323
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
QUANTUM FIELD THEORY
QUANTUM GRAVITY
TWO-DIMENSIONAL CALCULATIONS
STRING MODELS
CONFORMAL INVARIANCE
DEGREES OF FREEDOM
EQUATIONS OF MOTION
NUCLEAR MATRIX
RENORMALIZATION
STRONG-COUPLING MODEL
COMPOSITE MODELS
DIFFERENTIAL EQUATIONS
EQUATIONS
EXTENDED PARTICLE MODEL
FIELD THEORIES
INVARIANCE PRINCIPLES
MATHEMATICAL MODELS
MATRICES
PARTIAL DIFFERENTIAL EQUATIONS
PARTICLE MODELS
QUARK MODEL
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657003 - Theoretical & Mathematical Physics- Relativity & Gravitation
657002 - Theoretical & Mathematical Physics- Classical & Quantum Mechanics