Dressing up the kink

Bergner, Yoav; Bettencourt, Luís M. A.

doi:10.1103/physrevd.69.045002

Cited by 18 publications

(41 citation statements)

References 27 publications

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“…This will allow us to capture the leading order effects in a quantum loop expansion, taking into account the inhomogeneity and time-dependence of the system. Such an approach has previously been successful when applied to topological solitons [8][9][10].…”

Section: Quantum Decay: Preludementioning

confidence: 99%

On the quantum stability of Q-balls

Tranberg

Weir

2014

J. High Energ. Phys.

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We consider the evolution and decay of Q-balls under the influence of quantum fluctuations. We argue that the most important effect resulting from these fluctuations is the modification of the effective potential in which the Q-ball evolves. This is in addition to spontaneous decay into elementary particle excitations and fission into smaller Q-balls previously considered in the literature, which -like most tunnelling processes -are likely to be strongly suppressed. We illustrate the effect of quantum fluctuations in a particular model φ 6 potential, for which we implement the inhomogeneous Hartree approximation to quantum dynamics and solve for the evolution of Q-balls in 3+1 dimensions. We find that the stability range as a function of (field space) angular velocity ω is modified significantly compared to the classical case, so that small-ω Q-balls are less stable than in the classical limit, and large-ω Q-balls are more stable. This can be understood qualitatively in a simple way.

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Section: Quantum Decay: Preludementioning

confidence: 99%

On the quantum stability of Q-balls

Tranberg

Weir

2014

J. High Energ. Phys.

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“…The same qualitative change is observed for self-consistent topological defects, which are heavier than at 1-loop [16], and we expect it to be generically true for any self-consistently dressed quantum field configuration.…”

Section: Discussionmentioning

confidence: 56%

“…While the Hartree approximation is not a controlled, systematic expansion, it is understood to be equivalent to a Gaussian variational ansatz in the Schrödinger functional formalism [20] and results in Hamiltonian dynamics [21]. Furthermore, a study of the quantum energy of solitons showed good agreement between the Hartree values and "exact" lattice Monte Carlo results [16,17]. Proceeding with the approximation, we find…”

Section: Pi Effective Actionmentioning

confidence: 79%

“…In fact, this is hardly surprising: once the fluctuation modes are allowed to interact in the presence of the bounce background, the spectrum will of course be shifted to positive values as the modes stabilize each other [15,16]. Needless to say this does not mean that translational invariance of the center of the bounce has been lost.…”

Section: The Single Bounce Effective Actionmentioning

confidence: 98%

“…We shall study two scalar models in 1+1 dimensions and include the self-coupling of fluctuations as well as their backreaction on the mean field nonperturbatively through the use of a two-particle irreducible (2PI) effective action formalism. We have also used this technique recently to calculate the self-consistent quantum energies of topological defects [16].…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Self-consistent bounce: An improved nucleation rate

Bergner

Bettencourt

2004

Phys. Rev. D

Self Cite

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We generalize the standard computation of homogeneous nucleation theory at zero temperature to a scenario in which the bubble shape is determined self-consistently with its quantum fluctuations. Studying two scalar models in 1+1 dimensions, we find the self-consistent bounce by employing a two-particle irreducible (2PI) effective action in imaginary time at the level of the Hartree approximation. We thus obtain an effective single bounce action which determines the rate exponent. We use collective coordinates to account for the translational invariance and the growth instability of the bubble and finally present a new nucleation rate prefactor. We compare the results with those obtained using the standard 1-loop approximation and show that the self-consistent rate can differ by several orders of magnitude.

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Quantum corrected Q-ball dynamics

Xie,

Saffin,

Tranberg

et al. 2024

J. High Energ. Phys.

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The physics of individual Q-balls and interactions between multiple Q-balls are well-studied in classical numerical simulations. Interesting properties and phenomena have been discovered, involving stability, forces, collisions and swapping of charge between different components of multi-Q-ball systems. We investigate these phenomena in quantum field theory, including quantum corrections to leading order in a 2PI coupling expansion, the inhomogeneous Hartree approximation. The presence of quantum modes and new decay channels allows the mean-field Q-ball to exchange charge with the quantum modes, and also alters the charge swapping frequencies of the composite Q-balls. It is also observed that the periodic exchanges between the mean-field and quantum modes tend to be quenched by collisions between Q-balls. We illustrate how the classical limit arises through a scaling of the Q-ball potential, making quantum corrections negligible for large-amplitude Q-balls.

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Dressing up the kink

Cited by 18 publications

References 27 publications

On the quantum stability of Q-balls

On the quantum stability of Q-balls

Self-consistent bounce: An improved nucleation rate

Quantum corrected Q-ball dynamics

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