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arXiv · 1604.05285

Bound states of the $\phi^4$ model via the nonperturbative renormalization group

F. Rose·F. Benitez·F. Leonard·B. Delamotte
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Abstract

Using the nonperturbative renormalization group, we study the existence of bound states in the symmetry-broken phase of the scalar $\phi^4$ theory in all dimensions between two and four and as a function of the temperature. The accurate description of the momentum dependence of the two-point function, required to get the spectrum of the theory, is provided by means of the Blaizot--M\'endez-Galain--Wschebor approximation scheme. We confirm the existence of a bound state in dimension three, with a mass within 1% of previous Monte-Carlo and numerical diagonalization values.

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F. Rose, F. Benitez, F. Leonard, B. Delamotte. 2016-04-18. Bound states of the $\phi^4$ model via the nonperturbative renormalization group. https://doi.org/10.1103/physrevd.93.125018

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