Light-front ϕ24 theory with sector-dependent mass
Abstract
As an extension of recent work on two-dimensional light-front ϕ4 theory, we implement Fock-sector dependence for the bare mass. Such dependence should have important consequences for the convergence of nonperturbative calculations with respect to the level of Fock-space truncation. The truncation forces the self-energy corrections to be sector dependent; in particular, the highest sector has no self-energy correction. Thus, the bare mass can be considered sector dependent as well. We find that, although higher Fock sectors have a larger probability, the mass of the lightest state and the value of the critical coupling are not significantly affected. This implies that coherent states or the light-front coupled-cluster method may be required to properly represent critical behavior.
- Publication:
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Physical Review D
- Pub Date:
- May 2017
- DOI:
- 10.1103/PhysRevD.95.096016
- arXiv:
- arXiv:1612.09331
- Bibcode:
- 2017PhRvD..95i6016C
- Keywords:
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- High Energy Physics - Theory
- E-Print:
- 10 pages, 4 figures