TY - JOUR

T1 - Q -balls in K -field theory

AU - Faúndez, Aníbal

AU - Gannouji, Radouane

N1 - Publisher Copyright:
© 2023 authors. Published by the American Physical Society.

PY - 2023/5/15

Y1 - 2023/5/15

N2 - We study the existence and stability of Q-balls in noncanonical scalar field theories, K(|φ|2,X), where φ is the complex scalar field and X is the kinetic term. We extend the Vakhitov-Kolokolov stability criterion to K-field theories. We derive the condition for the perturbations to have a well-posed Cauchy problem. We find that K,X>0 and K,X+XK,XX>0 are necessary but not sufficient conditions. The perturbations define a strongly hyperbolic system if (K,X-2φ′2K,XX)(K,X+2ω2φ2K,XX)>0. For all modifications studied, we found that perturbations propagate at a speed different from light. Generically, the noncanonical scalar field can lower the charge and energy of the Q-ball and therefore improves its stability.

AB - We study the existence and stability of Q-balls in noncanonical scalar field theories, K(|φ|2,X), where φ is the complex scalar field and X is the kinetic term. We extend the Vakhitov-Kolokolov stability criterion to K-field theories. We derive the condition for the perturbations to have a well-posed Cauchy problem. We find that K,X>0 and K,X+XK,XX>0 are necessary but not sufficient conditions. The perturbations define a strongly hyperbolic system if (K,X-2φ′2K,XX)(K,X+2ω2φ2K,XX)>0. For all modifications studied, we found that perturbations propagate at a speed different from light. Generically, the noncanonical scalar field can lower the charge and energy of the Q-ball and therefore improves its stability.

UR - http://www.scopus.com/inward/record.url?scp=85161154069&partnerID=8YFLogxK

U2 - 10.1103/PhysRevD.107.104058

DO - 10.1103/PhysRevD.107.104058

M3 - Article

AN - SCOPUS:85161154069

SN - 2470-0010

VL - 107

JO - Physical Review D

JF - Physical Review D

IS - 10

M1 - 104058

ER -