Computational renormalization scheme for quantum field theories

Computational renormalization scheme for quantum field theories
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DOI:
10.1103/physreva.88.012113
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发表时间:
2013-07
期刊:
影响因子:
2.9
通讯作者:
R. Wagner;Q. Su;R. Grobe
R. Wagner;Q. Su;R. Grobe
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
R. Wagner;Q. Su;R. Grobe

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We propose an alternative technique for numerically renormalizing quantum field theories based on their Hamiltonian formulation. This method is nonperturbative in nature and, therefore, exact to all orders. It does not require any correlation functions or Feynman diagrams. We illustrate this method for a model Yukawa-like theory describing the interaction of electrons and positrons with model photons in one spatial dimension. We show that, after mass renormalization of the fermionic and bosonic single-particle states, all other states in the Fock space have finite energies, which are independent of the momentum cutoff.