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arXiv 1612.09331hep-th
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质量随扇区变化的光阵面$ϕ_2^4$理论

Light-front $ϕ_2^4$ theory with sector-dependent mass

S. S. Chabysheva, J. R. Hiller

摘要:

作为最近二维光阵面$ϕ^4$理论工作的扩展,我们实现了裸质量的Fock扇区依赖。这种依赖性应该有重要的后果,收敛的非微扰计算方面的Fock空间截断的水平。截断迫使自能修正依赖于扇区;特别是,最高扇区没有自能修正。因此,裸质量也可以被认为是扇区相关的。我们发现,虽然更高的Fock扇区有更大的概率,最轻态的质量和临界耦合的值没有显着的影响。这意味着相干态或光阵面耦合团簇方法可能需要适当地表示临界行为。

英文摘要:

As an extension of recent work on two-dimensional light-front $ϕ^4$ 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.

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