Alternative to collective coordinates

Evslin, Jarah; Guo, Hengyuan

doi:10.1103/physrevd.103.l041701

Cited by 6 publications

(14 citation statements)

References 16 publications

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“…These may be calculated systematically using the formalism described in ref. [12] and we believe that the calculation below may be extended to cancel these higher order tadpoles as well. However in this note we will restrict our attention to the leading order tadpoles, which appear explicitly in the normal mode normal ordered H .…”

Section: The Leading Order Tadpolementioning

confidence: 91%

“…In this appendix we will check that the two-loop ground state kink mass is independent of our choice of f 2 (x), and so in particular it will be the same as that found at f 2 (x) = 0 in ref. [12].…”

Section: A Consistency Check: Two-loop Kink Massmentioning

confidence: 99%

“…The remaining mixing is purely kinematic, as it originates in ref. [12] from the translation-invariance of the kink state.…”

Section: Jhep11(2021)128mentioning

confidence: 99%

“…In ref. [12] it was shown that the translation invariance of a kink state is equivalent to the recursion relation…”

Section: A2 Subleading Order: Translation Invariancementioning

confidence: 99%

“…In ref. [12] the kink ground state kink energy Q = j Q j was determined using the H f 0 eigenvalue equation (2.18)…”

Section: Jhep11(2021)128mentioning

confidence: 99%

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Removing tadpoles in a soliton sector

Evslin

Guo

2021

J. High Energ. Phys.

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It has long been known that perturbative calculations can be performed in a soliton sector of a quantum field theory by using a soliton Hamiltonian, which is constructed from the defining Hamiltonian by shifting the field by the classical soliton solution. It is also known that even if tadpoles are eliminated in the vacuum sector, they remain in the soliton sector. In this note we show, in the case of quantum kinks at two loops, that the soliton sector tadpoles may be removed by adding certain quantum corrections to the classical solution used in this construction. Stated differently, the renormalization condition that the soliton sector tadpoles vanish may be satisfied by renormalizing the soliton solution.

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Section: The Leading Order Tadpolementioning

confidence: 91%

Section: A Consistency Check: Two-loop Kink Massmentioning

confidence: 99%

“…The remaining mixing is purely kinematic, as it originates in ref. [12] from the translation-invariance of the kink state.…”

Section: Jhep11(2021)128mentioning

confidence: 99%

“…In ref. [12] it was shown that the translation invariance of a kink state is equivalent to the recursion relation…”

Section: A2 Subleading Order: Translation Invariancementioning

confidence: 99%

“…In ref. [12] the kink ground state kink energy Q = j Q j was determined using the H f 0 eigenvalue equation (2.18)…”