Critical behavior of simplicial chiral models
نویسندگان
چکیده
منابع مشابه
Critical behavior of simplicial chiral models.
The large-N saddle-point equations for the principal chiral models defined on a d − 1 dimensional simplex are derived from the external field problem for unitary integrals. The saddle point equation are studied analytically and numerically in many relevant instances, including d = 4 and d → ∞, with special attention to the critical domain, which is found to correspond to βc = 1/d for all d. Rel...
متن کاملSimplicial chiral models.
Principal chiral models on a d-1 dimensional simplex are introduced and studied analytically in the large N limit. The d = 0, 2, 4 and ∞ models are explicitly solved. Relationship with standard lattice models and with few-matrix systems in the double scaling limit are discussed. ⋆ Work supported in part by the Department of Energy under contract DE-FG02-91ER40688Task A The importance of underst...
متن کاملGeneralized simplicial chiral models
Using the auxiliary field representation of the simplicial chiral models on a (d− 1)– dimensional simplex, we generalize the simplicial chiral models by replacing the term Tr(AA†) in the Lagrangian of these models, by an arbitrary class function of AA†; V (AA†). This is the same method that has been used in defining the generalized two– dimensional Yang–Mills theories (gYM2) from ordinary YM2. ...
متن کاملMore on generalized simplicial chiral models
By generalizing the auxiliary field term in the Lagrangian of simplicial chiral models on a (d − 1)–dimensional simplex, the generalized simplicial chiral models has been introduced in [1]. These models can be solved analytically only in d = 0 and d = 2 cases at large–N limit. In d = 0 case, we calculate the eigenvalue density function in strong regime and show that the partition function compu...
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Four-dimensional quantum gravity is a complex theory due to the unboundedness of the pure gravitational action, its non-renormalizability and non-polynomial nature 1. We will concentrate here on the simplicial formulation of quantum gravity also known as Regge calculus (for a review, see refs. 2,3). One of the advantages of the approach lies in the fact that it can be formulated in any space-ti...
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ژورنال
عنوان ژورنال: Physical Review D
سال: 1996
ISSN: 0556-2821,1089-4918
DOI: 10.1103/physrevd.53.3230