Leading quantum correction to the 
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 kink form factor

Guo, Hengyuan

doi:10.1103/physrevd.106.096001

Cited by 4 publications

(1 citation statement)

References 27 publications

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“…If it is solved for all coefficients in the expansion about the base point, it is solved everywhere by translation invariance. And indeed, the method has been shown to agree with previous calculations of form factors and two-loop mass corrections where available and, due to its simplicity, it has provided novel calculations of the mass of non-integrable, non-supersymmetric kinks [23] and even excited kinks [24], as well as kink form factors in non-integrable models [25].…”

Section: Motivationmentioning

confidence: 52%

A reduced inner product for kink states

Evslin

Liu

2023

J. High Energ. Phys.

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Solitons in classical field theories correspond to states in quantum field theories. If the spatial dimension is infinite, then momentum eigenstates are not normalizable. This leads to infrared divergences, which are generally regularized via wave packets or by compactification. However, in some applications both possibilities are undesirable. In the present note, we introduce a finite inner product on translation-invariant kink states that allows us to compute probabilities involving these nonnormalizable states. Essentially, it is the quotient of the usual inner product by the translation group. We present a surprisingly simple formula for the reduced inner product, which requires no knowledge of the zero-mode dependence of the states but includes a correction which accounts for the mixing between zero modes and normal modes as the kink moves. As an application, we show that initial and final state corrections to meson multiplication vanish. However, we find that the pole of the subleading term in the initial state requires an infinitesimal imaginary shift.

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Section: Motivationmentioning

confidence: 52%

A reduced inner product for kink states

Evslin

Liu

2023

J. High Energ. Phys.

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Perturbative approach to time-dependent quantum solitons

Ogundipe,

Evslin

2024

J. High Energ. Phys.

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Recently we have introduced a lightweight, perturbative approach to quantum solitons. Thus far, our approach has been largely limited to configurations consisting of a single soliton plus a finite number of mesons, whose classical limit is an isolated stationary or rigidly moving soliton. In this paper, with an eye to soliton collisions and oscillons, we generalize this approach to quantum states whose classical limits are genuinely time-dependent. More precisely, we use a unitary operator, inspired by the coherent state approach to solitons, to factor out the nonperturbative part of the state, which includes the classical motion. The solution for the quantum state and its evolution is then reduced to an entirely perturbative problem.

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