Spectral walls in multifield kink dynamics

Adam, C.; Oleś, K.; Romańczukiewicz, T.; Wereszczyński, A.; Zakrzewski, W. J.

doi:10.1007/jhep08(2021)147

“…Let us consider the following Lagrangian (6.1) This describes two complex fields coupled in the same way as the BPS impurity model. For Λ 2 >> Λ 1 the fields u and w decouple (for similar results in one-dimensional theories see [22]). In this limit, w behaves as a standard lump, therefore…”

Section: Holomorphic Impurities As Multifield Systemsmentioning

confidence: 69%

Moduli spaces of BPS lumps with holomorphic impurities

Queiruga¹

2021

Preprint

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A self-dual generalization of the lump-impurity system is introduced. This model possesses lump-antilump-like pairs as static solutions of the pertinent Bogomolny equations. This allows for a moduli space approximation analysis of the BPS solutions which are identified as lump-antilump configurations. Some geometrical properties of the resulting moduli are analyzed. In addition, it is argued that, this type of impurity models can be interpreted as a limit of certain non-impurity theories.

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“…A generalization to asymmetric kinks would be desirable, as it would allow applications to problems of current interest, such as spectral walls [19,20].…”

Section: Jhep11(2021)128mentioning

confidence: 99%

Removing tadpoles in a soliton sector

Evslin

¹

,

Guo

²

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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“…A generalization to asymmetric kinks would be desirable, as it would allow applications to problems of current interest, such as spectral walls [17,18].…”

Section: Remarksmentioning

confidence: 99%

Removing Tadpoles in a Soliton Sector

Evslin,

Guo

2021

Preprint

0

View full text Add to dashboard Cite

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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Spectral walls in multifield kink dynamics

Cited by 30 publications

References 48 publications

Moduli spaces of BPS lumps with holomorphic impurities

Moduli spaces of BPS lumps with holomorphic impurities

Removing tadpoles in a soliton sector

Removing Tadpoles in a Soliton Sector

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