A Wilson Renormalization Group Approach to Light-Front Tamm-Dancoff Scalar Field Theory
Edsel A. Ammons
Abstract
A program to utilize the Tamm-Dancoff approximation, on the light-front, to solve relativistic quantum field theories, is presented. We present a well defined renormalization program for the Tamm-Dancoff approximation. This renormalization program utilizes a Minkowski space version of Wilson's renormalization group. We studied light-front ϕ4 field theory in 3+1 dimensions, within a two-particle truncation of Fock space. We further simplified our calculations by considering only one marginal operator and one irrelevant operator. The renormalization procedure required no more marginal or relevant operators. We derived an effective, renormalized, Hamiltonian. These techniques may be germane to the effort to find an effective, low energy, light-front Hamiltonian for quantum chromodynamics. PACS number(s): 11.10Gh, 11.10Ef
Create a lesson
Related papers
Parametrization of unitary matrices, parametrizing the symmetric S matrix and the NN S matrix above the inelastic threshold
N. A. Khokhlov
Thermofractal Dynamics in the Multisource Thermal Model: A Unified Approach to Multiparticle Production
Airton Deppman, Trambak Bhattacharyya, Maciej Rybczyński et al.
Electroweak Constraints on Nuclear Neutron Distributions and the Low-Energy Weak Mixing Angle
Xu-Run Huang, Tong-Gang Yue, Zhen Zhang et al.
Active-subspace learning reveals dominant parameter directions in nuclear observables
Tom Plies, Margarida Companys Franzke, Achim Schwenk
Shape coexisting intruder states in even Sn isotopes and their influence on the B4/2<1 anomaly
P. Buganu, R. Benjedi, R. Budaca
Light nucleus and hypernucleus production at RHIC and LHC energies: a comparative study of phenomenological models
J. Aichelin, A. Andronic, F. Bellini et al.