2018/05/31 by Marco Serone, Gabriele Spada, Giovanni Villadoro · 1 citation
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Critical exponent #Critical phenomena #Hamiltonian (control theory) #Ising model #Mass gap #Quantum Chromodynamics and Particle Interactions #Quantum field theory #Renormalization group #Resummation #Scalar field theory #Wilson loop #cond-mat.stat-mech #hep-th
paper · pdf · doi:10.1007/jhep08(2018)148
v1: 36 pages, 9 figures, 10 tables; v2: computed one more perturbative coefficient, minor improvements, matches JHEP version
openalex created_date 2018/06/01 · openalex publication_date 2018/08/01 · arxiv created 2018/08/22 · arxiv updated 2018/09/26 · openalex updated_date 2026/08/05
A bstract Perturbation theory of a large class of scalar field theories in d < 4 can be shown to be Borel resummable using arguments based on Lefschetz thimbles. As an example we study in detail the λϕ 4 theory in two dimensions in the Z 2 symmetric phase. We extend the results for the perturbative expansion of several quantities up to N 8 LO and show how the behavior of the theory at strong coupling can be recovered successfully using known resummation techniques. In particular, we compute the vacuum energy and the mass gap for values of the coupling up to the critical point, where the theory becomes gapless and lies in the same universality class of the 2d Ising model. Several properties of the critical point are determined and agree with known exact expressions. The results are in very good agreement (and with comparable precision) with those obtained by other non-perturbative approaches, such as lattice simulations and Hamiltonian truncation methods.