6533b86dfe1ef96bd12ca9a2
RESEARCH PRODUCT
Renormalisation group improvement in the stochastic formalism
Tommi MarkkanenSami NurmiRobert J. Hardwicksubject
High Energy Physics - TheoryGAUGED NJL-MODELgr-qcHigh Energy Physics::LatticeFOS: Physical sciencesGeneral Relativity and Quantum Cosmology (gr-qc)Astrophysics::Cosmology and Extragalactic AstrophysicsAstronomy & Astrophysics01 natural sciencesGeneral Relativity and Quantum CosmologyPhysics Particles & FieldsHigh Energy Physics - Phenomenology (hep-ph)PROPAGATORFLATNESSHORIZON0201 Astronomical and Space Sciences0103 physical sciencesphysics of the early universeinflationINFLATIONARY UNIVERSE SCENARIOResummationMathematical physicsPhysicsScience & Technology010308 nuclear & particles physicsPhysicshep-thYukawa potentialhep-phAstronomy and AstrophysicsEXPANSIONNuclear & Particles Physicsquantum field theory on curved spaceFormalism (philosophy of mathematics)High Energy Physics - PhenomenologyHigh Energy Physics - Theory (hep-th)particle physics - cosmology connectionINTERACTING SCALAR FIELDVACUUMPhysical Sciences0202 Atomic Molecular Nuclear Particle and Plasma PhysicsPHASE-TRANSITIONGENERATIONdescription
We investigate compatibility between the stochastic infrared (IR) resummation of light test fields on inflationary spacetimes and renormalisation group running of the ultra-violet (UV) physics. Using the Wilsonian approach, we derive improved stochastic Langevin and Fokker-Planck equations which consistently include the renormalisation group effects. With the exception of stationary solutions, these differ from the naive approach of simply replacing the classical potential in the standard stochastic equations with the renormalisation group improved potential. Using this new formalism, we exemplify the IR dynamics with the Yukawa theory during inflation, illustrating the differences between the consistent implementation of the UV running and the naive approach.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2019-04-16 |