arXiv subjects

Jonathan Lozano-Mayo

Publications and source records attributed to Jonathan Lozano-Mayo.

4 recordsLinked to original sources

arXiv2026

Quantum vacuum inversion and multi-kink unbinding in the non-degenerate double sine-Gordon model

A composite soliton can lose its binding through a change in the ordering of the vacua that fill its interior and its exterior, while the quantum correction to its mass stays small. We show this in the non-degenerate double sine-Gordon model, normal ordered at the meson mass of the primary vacuum. At one loop the central secondary vacuum becomes the true vacuum at a coupling of order the classical splitting of the vacua, because the quantum tension of a string of secondary vacuum carries the logarithm of the meson-mass ratio. Matrix-product-state calculations for $n=4$ confirm the inversion, extrapolate to the continuum, and are reproduced by the Gaussian effective potential. Finite-chain calculations at two lattice spacings show the string joining the two halves of the $Q=4$ multi-kink lengthening as its tension falls and, past the crossing, filling the box, with the slope of the energy in the box length equal to the vacuum-energy difference and the correction to the mass still under a tenth of the classical value.

hep-th↗

arXiv2026

Multi-kinks and composite oscillons in a commensurable and non degenerate double sine-Gordon model

In this paper, we introduce a commensurable and non-degenerate double sine-Gordon model, in which a partial breaking of vacuum degeneracy provides a mechanism for the emergence of static multi-kinks. These multi-kinks $K_n$ are stable field configurations with internal structure, consisting of $n$ localized energy packets with well-defined separations. The properties of the multi-kinks are thoroughly analyzed, including the novel phenomenology that arises during their collisions. In particular, we observe the emergence of long-lived composite oscillons that reflect the original structure of the multi-kinks. The sub-kink's positions and their vibration modes provide collective coordinates that are used to construct a phenomenological model, which offers a good qualitative explanation of the observed oscillon properties. Linear radiation effects are consistently incorporated into the model, revealing their important role in the synchronization of the oscillon's vibrational components. In contrast, oscillon decay and the sudden annihilations observed in some collisions are driven by a novel staccato-like mechanism, whereby repeated crossings of the mass threshold by the dominant frequency generate a sequence of radiation bursts.

hep-th↗

arXiv2026

Generalized Virial Identities: Radial Constraints for Solitons, Instantons, and Bounces

We derive a continuous family of virial identities for O($n$) symmetric configurations, parameterized by an exponent $α$ that controls the radial weighting. The family provides a systematic decomposition of the global constraint into radially-resolved components, with special $α$ values isolating specific mechanisms. For BPS configurations, where the Bogomolny equations imply pointwise equality between kinetic and potential densities, the virial identity is satisfied for all valid $α$. We verify the formalism analytically for the Fubini-Lipatov instanton, BPS monopole, and BPST instanton. Numerical tests on the Coleman bounce and Nielsen-Olesen vortex illustrate how the $α$-dependence of errors distinguishes core from tail inaccuracies: the vortex shows errors growing at negative $α$ (core), while the bounce shows errors growing at positive $α$ (tail). Applications to the electroweak sphaleron, where the Higgs mass explicitly breaks scale invariance, and the hedgehog Skyrmion illustrate the formalism in systems with multiple competing length scales.

hep-th↗

arXiv2021

Kink solutions in a generalized scalar $ϕ^4_G$ field model

We study a scalar field model in a two dimensional space-time with a generalized $ϕ^4_G$ potential which has four minima, obtaining novel kink solutions with well defined properties although the potential is non-analytical at the origin. The model contains a control parameter $δ$ that breaks the degeneracy of the potential minima, giving rise to two different phases for the system. The $δ<0$ phases do not possess solitary wave solutions. At the transition point $δ=0$ all the potential minima are degenerate and three different kink solutions result. As the transition to the $δ>0$ phase takes place, the minima of the potential are no longer degenerate and a unique kink $ϕ_δ$ solution is produced. Remarkably, this kink is a coherent structure that results from the merge of three kinks that can be identified with those observed at the transition point. To support the interpretation of $ϕ_δ$ as a bound state of three kinks, we calculate the force between the kink-kink pair components of $ϕ_δ$, obtaining an expression that has both exponentially repulsive and constant attractive contributions that yields an equilibrium configuration, explaining the formation of the $ϕ_δ$ multi-kink state. We further investigate kink properties including their stability guaranteed by the positive defined spectrum of small fluctuations around the kink configurations. The findings of our work together with a semiclassical WKB quantization, including the one loop mass renormalization, enable computing quantum corrections to the kink masses. The general results could be relevant to the development of effective theories for non-equilibrium steady states and for the understanding of the formation of coherent structures.

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