An attractive $ϕ^4$ theory in light-front coordinates
Year: 2018
Type: preprint
Abstract: We study an attractive $ϕ^4$ interaction using Tamm-Dancoff truncation with light-front coordinates in $3+1$ dimensions. The truncated theory requires a coupling constant renormalization, we compute its $β$ function non-perturbatively, show that the model is asymptotically free, and find the corresponding Callan-Symanzik equations. The model supports bound states, we find the wave function for the ground state of the two-particle sector. We also give a bound for the $N$-particle ground state energy within a mean field approximation, including the corresponding result for the case of $2+1$ dimensions where the model does not require renormalization.
Source: arXiv (Cornell University)
Authors: Turgut, O. Teoman, Yalnız, Gökhan
Institutions: Boğaziçi University, Carnegie Mellon University
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4289104483