Differential renormalization-group approach to the layered sine-Gordon model
نویسندگان
چکیده
منابع مشابه
Renormalization–Group Analysis of Layered Sine–Gordon Type Models
We analyze the phase structure and the renormalization group (RG) flow of the generalized sine-Gordon models with nonvanishing mass terms, using the Wegner-Houghton RG method in the local potential approximation. Particular emphasis is laid upon the layered sine-Gordon (LSG) model, which is the bosonized version of the multi-flavour Schwinger model and approaches the sum of two “normal”, massle...
متن کاملSine-Gordon model in functional renormalization
SU(N) Yang-Mills theories, which are expected to describe the strong interaction in the case N = 3, are one of the most studied models in theoretical physics. While their asymptotic UV behavior is well under control thanks to asymptotic freedom, the need of non-perturbative techniques to describe the IR behavior has rapidly appeared to be mandatory. The reasons of this non-perturbativity of the...
متن کاملOn the renormalization of the sine–Gordon model
We analyse the renormalizability of the sine–Gordon model by the example of the two–point causal Green function up to second order in αr(M 2), the dimensional coupling constant defined at the normalization scale M , and to all orders in β2, the dimensionless coupling constant. We show that all divergences can be removed by the renormalization of the dimensional coupling constant using the renor...
متن کاملSymmetries and Phase Structure of the Layered Sine-Gordon Model
Abstract. The phase structure of the layered sine-Gordon (LSG) model is investigated in terms of symmetry considerations by means of a differential renormalization group (RG) method, within the local potential approximation. The RG analysis of the general N -layer model provides us with the possibility to consider the dependence of the vortex dynamics on the number of layers. The Lagrangians ar...
متن کاملFlow equation approach to the sine-Gordon model
A continuous sequence of infinitesimal unitary transformations is used to diagonalize the quantum sine-Gordon model for β2 ∈ (2π,∞). This approach can be understood as an extension of perturbative scaling theory since it links weakto strong-coupling behavior in a systematic expansion: a small expansion parameter is identified and this parameter remains small throughout the entire flow unlike th...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Philosophical Magazine
سال: 2006
ISSN: 1478-6435,1478-6443
DOI: 10.1080/14786430500080049