Functional Renormalization Group analysis of a Tensorial Group Field Theory on $\mathbb{R}^3$
نویسندگان
چکیده
منابع مشابه
Renormalization Group Analysis of Spectral Problems in Quantum Field Theory
In this paper we present a self-contained and detailed exposition of the new renormalization group technique proposed in [1, 2]. Its main feature is that the renormalization group transformation acts directly on a space of operators rather than on objects such as a propagator, the partition function, or correlation functions. We apply this renormalization transformation to a Hamiltonian describ...
متن کاملRenormalization Group Analysis of Scalar Field
We employ Wilson's renormalization group procedure in an attempt to classify and understand the physics of the continuum limits of scalar field theories. Analysis of the flows near the Gaussian fixed point reveals the existence of an infinite set of asymptotically free continuum limits. We study the associated physics by calculating scattering cross sections and the i-loop effective potential. ...
متن کاملCluster Functional Renormalization Group
Functional renormalization group (FRG) has become a diverse and powerful tool to derive effective low-energy scattering vertices of interacting many-body systems. Starting from a non-interacting expansion point of the action, the flow of the RG parameter Λ allows to trace the evolution of the effective one-particle and two-particle vertices towards low energies by taking into account the vertex...
متن کاملRenormalization group theory for global asymptotic analysis.
We show with several examples that renormalization group (RG) theory can be used to understand singular and reductive perturbation methods in a unified fashion. Amplitude equations describing slow motion dynamics in nonequilibrium phenomena are RG equations. The renormalized perturbation approach may be simpler to use than other approaches, because it does not require the use of asymptotic matc...
متن کاملA New Renormalization Group for Hamiltonian Field Theory
The Schrödinger equation with a two-dimensional δ-function potential is a simple example of an asymptotically free theory that undergoes dimensional transmutation. Renormalization requires the introduction of a mass scale, which can be lowered perturbatively until an infrared cutoff produced by non-perturbative effects such as bound state formation is encountered. We outline the effective field...
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: EPL (Europhysics Letters)
سال: 2015
ISSN: 0295-5075,1286-4854
DOI: 10.1209/0295-5075/112/31001