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- W3121895557 abstract "A gradient flow equation for $lambdaphi^{4}$ theory in $D=4$ is formulated. In this scheme the gradient flow equation is written in terms of the renormalized probe variable $Phi(t,x)$ and renormalized parameters $m^{2}$ and $lambda$ in a manner analogous to the higher derivative regularization. No extra divergence is induced in the interaction of the probe variable $Phi(t,x)$ and the 4-dimensional dynamical variable $phi(x)$ which is defined in renormalized perturbation theory. The finiteness to all orders in perturbation theory is established by power counting argument in the context of $D+1$ dimensional field theory. This illustrates that one can formulate the gradient flow for the simple but important $lambdaphi^{4}$ theory in addition to the well-known Yang-Mills flow, and it shows the generality of the gradient flow for a wider class of field theory." @default.
- W3121895557 created "2021-02-01" @default.
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- W3121895557 date "2016-03-01" @default.
- W3121895557 modified "2023-09-24" @default.
- W3121895557 title "The gradient flow in λϕ 4 theory" @default.
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- W3121895557 doi "https://doi.org/10.1007/jhep03(2016)021" @default.
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