Continuum Limit of Quenched QED. Critical Exponents and Anomalous Dimensions

1991 ◽  
pp. 223-239
Author(s):  
Aleksandar Kocić
Keyword(s):  
Critical Exponents ◽  
Continuum Limit ◽  
Anomalous Dimensions

scholarly journals GAUGED NAMBU-JONA-LASINIO MODEL AT O(1/N) WITH AND WITHOUT A CHERN-SIMONS TERM

1993 ◽  
Vol 08 (23) ◽  
pp. 2205-2212 ◽  
Author(s):  
J.A. GRACEY
Keyword(s):  
Critical Exponents ◽  
Three Dimensional ◽  
Dyson Equation ◽  
Scaling Behavior ◽  
Leading Order ◽  
Dimensional Model ◽  
Three Dimensional Model ◽  
Anomalous Dimensions ◽  
Large N ◽  
Chern Simons

We solve the gauged Nambu-Jona-Lasinio model at leading order in the large-N expansion by computing the anomalous dimensions of all the fields of the model and other gauge independent critical exponents by examining the scaling behavior of the Schwinger Dyson equation. We then restrict to the three-dimensional model and include a Chern-Simons term to discover the θ-dependence of the same exponents where θ is the Chern-Simons coupling.

Critical exponents for Ising-like systems on Sierpinski carpets

1987 ◽  
Vol 48 (4) ◽  
pp. 553-558 ◽  
Author(s):  
B. Bonnier ◽  
Y. Leroyer ◽  
C. Meyers
Keyword(s):  
Critical Exponents ◽  
Sierpinski Carpets

Instability and Collapse in Discrete Wave Equations

2005 ◽  
Vol 5 (3) ◽  
pp. 223-241
Author(s):  
A. Carpio ◽  
G. Duro
Keyword(s):  
Continuum Limit ◽  
Wave Equations ◽  
Numerical Solutions ◽  
Blow Up ◽  
Theoretical Predictions ◽  
Initial States ◽  
The Impact ◽  
The Continuum

AbstractUnstable growth phenomena in spatially discrete wave equations are studied. We characterize sets of initial states leading to instability and collapse and obtain analytical predictions for the blow-up time. The theoretical predictions are con- trasted with the numerical solutions computed by a variety of schemes. The behavior of the systems in the continuum limit and the impact of discreteness and friction are discussed.

scholarly journals Renormalization Group evolution from on-shell SMEFT

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Minyuan Jiang ◽  
Teng Ma ◽  
Jing Shu
Keyword(s):  
Field Theory ◽  
Renormalization Group ◽  
Standard Model ◽  
Effective Field Theory ◽  
Effective Field ◽  
High Dimensional ◽  
Anomalous Dimensions ◽  
The Standard Model ◽  
Group Evolution

Abstract We describe the on-shell method to derive the Renormalization Group (RG) evolution of Wilson coefficients of high dimensional operators at one loop, which is a necessary part in the on-shell construction of the Standard Model Effective Field Theory (SMEFT), and exceptionally efficient based on the amplitude basis in hand. The UV divergence is obtained by firstly calculating the coefficients of scalar bubble integrals by unitary cuts, then subtracting the IR divergence in the massless bubbles, which can be easily read from the collinear factors we obtained for the Standard Model fields. Examples of deriving the anomalous dimensions at dimension six are presented in a pedagogical manner. We also give the results of contributions from the dimension-8 H4D4 operators to the running of V+V−H2 operators, as well as the running of B+B−H2D2n from H4D2n+4 for general n.

scholarly journals Critical exponents from five-loop scalar theory renormalization near six-dimensions

2021 ◽  
Vol 817 ◽  
pp. 136331
Author(s):  
Mikhail Kompaniets ◽  
Andrey Pikelner
Keyword(s):  
Critical Exponents ◽  
Scalar Theory ◽  
Six Dimensions
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