Effective action for the Abelian Higgs model in FLRW

Journal Article · Thu Nov 01 00:00:00 EDT 2012 · Journal of Cosmology and Astroparticle Physics

DOI:https://doi.org/10.1088/1475-7516/2012/11/043· OSTI ID:22279828

George, Damien P.; Mooij, Sander; Postma, Marieke ^[1]

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1. Nikhef, Science Park 105, 1098 XG Amsterdam (Netherlands)

We compute the divergent contributions to the one-loop action of the U(1) Abelian Higgs model. The calculation allows for a Friedmann-Lemaitre-Robertson-Walker space-time and a time-dependent expectation value for the scalar field. Treating the time-dependent masses as two-point interactions, we use the in-in formalism to compute the first, second and third order graphs that contribute quadratic and logarithmic divergences to the effective scalar action. Working in R{sub ξ} gauge we show that the result is gauge invariant upon using the equations of motion.

• OSTI ID: 22279828
• Journal Information: Journal of Cosmology and Astroparticle Physics, Vol. 2012, Issue 11; Other Information: Country of input: International Atomic Energy Agency (IAEA); ISSN 1475-7516
• Country of Publication: United States
• Language: English

Related Subjects

79 ASTROPHYSICS
COSMOLOGY AND ASTRONOMY
ACTION INTEGRAL
COSMOLOGICAL MODELS
COSMOLOGY
EQUATIONS OF MOTION
EXPECTATION VALUE
GAUGE INVARIANCE
GRAPH THEORY
HIGGS MODEL
MASS
SCALAR FIELDS
SCALARS
SPACE-TIME
TIME DEPENDENCE
U-1 GROUPS