GEOMETRICALLY RELATING MOMENTUM CUT-OFF AND DIMENSIONAL REGULARIZATION

@article{Agarwala2013GEOMETRICALLYRM,
  title={GEOMETRICALLY RELATING MOMENTUM CUT-OFF AND DIMENSIONAL REGULARIZATION},
  author={Susama Agarwala},
  journal={International Journal of Geometric Methods in Modern Physics},
  year={2013},
  volume={10},
  pages={1250081}
}
  • Susama Agarwala
  • Published 2013
  • Physics, Mathematics
  • International Journal of Geometric Methods in Modern Physics
  • The β function for a scalar field theory describes the dependence of the coupling constant on the renormalization mass scale. This dependence is affected by the choice of regularization scheme. I explicitly relate the β functions of momentum cut-off regularization and dimensional regularization on scalar field theories by a gauge transformation using the Hopf algebras of the Feynman diagrams of the theories. 

    References

    Publications referenced by this paper.
    SHOWING 1-10 OF 16 REFERENCES
    Renormalization of Feynman integrals on the lattice
    • 50
    • Highly Influential
    • PDF
    Quantum fields and motives
    • 81
    • Highly Influential
    • PDF
    Quantum Field Theory for Mathematicians
    • 102
    • PDF
    Renormalization in Quantum Field Theory and the Riemann–Hilbert Problem I: The Hopf Algebra Structure of Graphs and the Main Theorem
    • 442
    • Highly Influential
    • PDF
    On matrix differential equations in the Hopf algebra of renormalization
    • 17
    • PDF
    The Hopf algebra of Feynman graphs in QED
    • 18
    • PDF
    Spitzer's identity and the algebraic Birkhoff decomposition in pQFT
    • 128
    • PDF