An attractive ϕ⁴ theory in light-front coordinates

2018/12/22 by O. Teoman Turgut, Turgut, O. Teoman, Gökhan Yalnız +1
Physics and Astronomy · #81T10 #81T16 #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Quantum Chromodynamics and Particle Interactions #Quantum many-body systems

paper · pdf · doi:10.48550/arxiv.1812.09555

openalex publication_date 2018/12/22 · openalex created_date 2022/08/01 · openalex updated_date 2026/07/28

Abstract

We study an attractive ϕ⁴ 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.

Citations

• Derivation of Hadron Structure Functions from Quantum ChromoDynamics
• Bound States in Models of Asymtotic Freedom

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