The two-loop ϕ4 kink mass

@article{Evslin2021TheT,
  title={The two-loop ϕ4 kink mass},
  author={Jarah Evslin},
  journal={Physics Letters B},
  year={2021}
}
  • J. Evslin
  • Published 13 September 2021
  • Physics
  • Physics Letters B
At one loop, quantum kinks are described by a free theory. The nonlinearity and so the interesting phenomenology arrives at two loops, where, for example, internal excitations couple to continuum excitations. We calculate the two-loop mass of a scalar kink. Unlike previous calculations, we include a counterterm which cancels the vacuum energy density at this order, so that our result for the kink mass is finite even when the vacuum energy density is nonzero. This allows us to apply our result… Expand
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References

SHOWING 1-10 OF 25 REFERENCES
Manifestly finite derivation of the quantum kink mass
  • J. Evslin
  • Physics
  • Journal of High Energy Physics
  • 2019
Abstract In 1974 Dashen, Hasslacher and Neveu calculated the leading quantum correction to the mass of the kink in the scalar ϕ 4 theory in 1+1 dimensions. The derivation relies on theExpand
λϕ4 theory — Part II. the broken phase beyond NNNN(NNNN)LO
A bstractWe extend the study of the two-dimensional euclidean ϕ4 theory initiated in ref. [1] to the ℤ2 broken phase. In particular, we compute in perturbation theory up to N4LO in the quarticExpand
Two-Loop Quantum Corrections to the Soliton Mass in Two-Dimensional Scalar Field Theories
Abstract We study higher-order corrections to the soliton mass in two-dimensional scalar field theories. We show that the second quantum correction (two-loop graphs) to the soliton mass ( M S ) isExpand
Quantum kink and its excitations
We show how detailed properties of a kink in quantum field theory can be extracted from field correlation functions. This makes it possible to study quantum kinks in a fully non-perturbative wayExpand
Lattice study of the kink soliton and the zero-mode problem for Ø 4 in two dimensions.
Using lattice field theory techniques, we perform an exploratory study of the quantisation of the simplest extended object, the Λ o 41+1 kink soliton, and the associated zero-mode contribution to theExpand
Unambiguous one-loop quantum energies of 1+1 dimensional bosonic field configurations
Abstract We calculate one-loop quantum energies in a renormalizable self-interacting theory in one spatial dimension by summing the zero-point energies of small oscillations around a classical fieldExpand
Truncated Conformal Space Approach for 2D Landau-Ginzburg Theories
We study the spectrum of Landau-Ginzburg theories in 1+1 dimensions using the truncated conformal space approach employing a compactified boson. We study these theories both in their broken andExpand
Kinks in discrete light cone quantization
Abstract We investigate non-trivial topological structures in discrete light cone quantization (DLCQ) through the example of the broken symmetry phase of the two-dimensional φ4 theory usingExpand
Alternative to collective coordinates
Collective coordinates provide a powerful tool for separating collective and elementary excitations, allowing both to be treated in the full quantum theory. The price is a canonical transformationExpand
Kinks and antikinks of buckled graphene: A testing ground for the φ 4 field model
Kinks and antikinks of the classical phi^4 field model are topological solutions connecting its two distinct ground states. Here we establish an analogy between the excitations of a long grapheneExpand
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