Critical behavior of simplicial chiral models.
نویسندگان
چکیده
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. Related models (chiral chains) are discussed and large-N solutions are analyzed.
منابع مشابه
Generalized 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...
متن کاملTernary Phase Diagram Modeling of Chiral Medetomidine Salts Using NRTL-SAC Model
Experimental determination of solubility and ternary phase diagram of chiral compound are of tedious and time consuming tasks, and in many cases, there is not enough experimental data for different enantiomeric compositions to access the experimental ternary phase diagram. Using thermodynamic models with predictive capability, having less dependency on experimental data, affords a great advanta...
متن کاملComputational study in Regioselectivie Synthesis of New Spiro-oxindolopyrrolidines
One-pot, four-component procedure for the synthesis of a small library of new chiral spiro- oxindolopyrrolidines with high regio-, diastereo- (>99:1 dr), and enantioselectivity (up to 80% ee) is described. In this process, the regio- and stereochemical 1,3-dipolar cycloaddition of azomethine ylides, which were generated insitu by the reaction of isatin derivatives and sarcosin,with optically ac...
متن کاملResistivity scaling and critical dynamics of fully frustrated Josephson-junction arrays with on-site dissipation
We study the scaling behavior and critical dynamics of the resistive transition in Josephson-junction arrays, at f =1/2 flux quantum per plaquette, by numerical simulation of an on-site dissipation model for the dynamics. The results are compared with recent simulations using the resistively shunted-junction model. For both models, we find that the resistivity scaling and critical dynamics of t...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید
ثبت ناماگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید
ورودعنوان ژورنال:
- Physical review. D, Particles and fields
دوره 53 6 شماره
صفحات -
تاریخ انتشار 1996