scholarly journals Wilson renormalization group approach to light-front Tamm-Dancoff scalar field theory

1994 ◽  
Vol 50 (2) ◽  
pp. 980-990 ◽  
Author(s):  
Edsel A. Ammons
Keyword(s):  
Field Theory ◽  
Renormalization Group ◽  
Scalar Field ◽  
Light Front ◽  
Group Approach ◽  
Scalar Field Theory ◽  
Renormalization Group Approach ◽  
Wilson Renormalization Group

scholarly journals HALPERN-HUANG DIRECTIONS IN EFFECTIVE SCALAR FIELD THEORY

1996 ◽  
Vol 11 (37) ◽  
pp. 2915-2919 ◽  
Author(s):  
VIPUL PERIWAL
Keyword(s):  
Field Theory ◽  
Fixed Point ◽  
Renormalization Group ◽  
Scalar Field ◽  
Cutoff Function ◽  
Scalar Field Theory ◽  
Wilson Renormalization Group

Halpern and Huang recently showed that there are relevant directions in the space of interactions at the Gaussian fixed point. We show that their result can be derived from Polchinski’s form of the Wilson renormalization group. The derivation shows that the existence of these directions is independent of the cutoff function used.

scholarly journals Renormalization group approach for Lorentz-violating scalar field theory at all loop orders

2016 ◽  
Vol 13 (04) ◽  
pp. 1650049 ◽  
Author(s):  
William de Carvalho Vieira ◽  
Paulo Renato Silva de Carvalho
Keyword(s):  
Field Theory ◽  
Scalar Field ◽  
Feynman Diagrams ◽  
Mathematical Explanation ◽  
Leading Order ◽  
Group Approach ◽  
Scalar Field Theory ◽  
Massless Theory ◽  
Renormalization Group Approach ◽  
Proof By Induction

We compute, both explicitly, at least, up to next-to-leading order and in a proof by induction for all loop levels, the critical exponents for thermal Lorentz-violating O([Formula: see text]) self-interacting scalar field theory. They are evaluated in a massless theory renormalized at arbitrary external momenta, where a reduced number of Feynman diagrams is needed. The results are presented and shown to be identical to that found previously in distinct theories renormalized at different renormalization schemes. Finally, we give both mathematical explanation and physical interpretation for them based on coordinates redefinition techniques and symmetry ideas, respectively.

scholarly journals Coherent states and spontaneous symmetry breaking in light-front scalar field theory

2006 ◽  
Vol 161 ◽  
pp. 223-229 ◽  
Author(s):  
J.P. Vary ◽  
D. Chakrabarti ◽  
A. Harindranath ◽  
R. Lloyd ◽  
L. Martinovic ◽  
...  
Keyword(s):  
Field Theory ◽  
Scalar Field ◽  
Symmetry Breaking ◽  
Spontaneous Symmetry Breaking ◽  
Coherent States ◽  
Light Front ◽  
Scalar Field Theory

Field-Theory Description of Nonequilibrium Critical Dynamics for Spin Systems

2012 ◽  
Vol 190 ◽  
pp. 23-26
Author(s):  
Ivan A. Kalashnikov ◽  
Pavel V. Prudnikov
Keyword(s):  
Field Theory ◽  
Renormalization Group ◽  
Order Parameter ◽  
Spin Systems ◽  
Critical Dynamics ◽  
Relaxation Dynamics ◽  
Group Approach ◽  
Fixed Dimension ◽  
Renormalization Group Approach ◽  
Short Time

Renormalization-group approach is applied to investigate the short-time nonequilibriumcritical behavior of pure and diluted spin systems with nonmagnetic point-like impurities.The dissipative relaxation dynamics with non-conserved order parameter is considered. For thefirst time the description of the order parameter growth induced by the initial nonequilibriumstate of system is carried out at fixed dimension d = 3 without use of ε-expansion.

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