Light-front ${\varphi }_2^4$ theory with sector-dependent mass

Abstract

As an extension of recent work on two-dimensional light-front ${\varphi }^4$ 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.

10 pages, 4 figures; RevTeX 4.1

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Cited by in corpus (6)

• Nonperturbative Matching Between Equal-Time and Lightcone Quantization
• Form Factors and Spectral Densities from Lightcone Conformal Truncation
• Transitioning from equal-time to light-front quantization in ${\varphi }_2^4$ theory
• Bootstrapping 2d ${\varphi }^4$ Theory with Hamiltonian Truncation Data
• Tadpoles and vacuum bubbles in light-front quantization
• Convergence of the light-front coupled-cluster method in quenched scalar Yukawa theory