Alternate definitions of loop corrections to the primordial power spectra

Shun-Pei Miao, Sohyun Park

Research output: Contribution to journalArticle

8 Citations (Scopus)

Abstract

We consider two different definitions for loop corrections to the primordial power spectra. One of these is to simply correct the mode functions in the tree order relations using the linearized effective field equations. The second definition involves the spatial Fourier transform of the two-point correlator. Although the two definitions agree at tree order, we show that they disagree at one loop using the Schwinger-Keldysh formalism, so there are at least two plausible ways of loop correcting the tree order result. We discuss the advantages and disadvantages of each.

Original languageEnglish
Article number064053
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume89
Issue number6
DOIs
Publication statusPublished - 2014 Mar 24

Fingerprint

power spectra
correlators
formalism

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics
  • Physics and Astronomy (miscellaneous)

Cite this

@article{a07eb13c155447829397057339e6143f,
title = "Alternate definitions of loop corrections to the primordial power spectra",
abstract = "We consider two different definitions for loop corrections to the primordial power spectra. One of these is to simply correct the mode functions in the tree order relations using the linearized effective field equations. The second definition involves the spatial Fourier transform of the two-point correlator. Although the two definitions agree at tree order, we show that they disagree at one loop using the Schwinger-Keldysh formalism, so there are at least two plausible ways of loop correcting the tree order result. We discuss the advantages and disadvantages of each.",
author = "Shun-Pei Miao and Sohyun Park",
year = "2014",
month = "3",
day = "24",
doi = "10.1103/PhysRevD.89.064053",
language = "English",
volume = "89",
journal = "Physical review D: Particles and fields",
issn = "1550-7998",
publisher = "American Physical Society",
number = "6",

}

Alternate definitions of loop corrections to the primordial power spectra. / Miao, Shun-Pei; Park, Sohyun.

In: Physical Review D - Particles, Fields, Gravitation and Cosmology, Vol. 89, No. 6, 064053, 24.03.2014.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Alternate definitions of loop corrections to the primordial power spectra

AU - Miao, Shun-Pei

AU - Park, Sohyun

PY - 2014/3/24

Y1 - 2014/3/24

N2 - We consider two different definitions for loop corrections to the primordial power spectra. One of these is to simply correct the mode functions in the tree order relations using the linearized effective field equations. The second definition involves the spatial Fourier transform of the two-point correlator. Although the two definitions agree at tree order, we show that they disagree at one loop using the Schwinger-Keldysh formalism, so there are at least two plausible ways of loop correcting the tree order result. We discuss the advantages and disadvantages of each.

AB - We consider two different definitions for loop corrections to the primordial power spectra. One of these is to simply correct the mode functions in the tree order relations using the linearized effective field equations. The second definition involves the spatial Fourier transform of the two-point correlator. Although the two definitions agree at tree order, we show that they disagree at one loop using the Schwinger-Keldysh formalism, so there are at least two plausible ways of loop correcting the tree order result. We discuss the advantages and disadvantages of each.

UR - http://www.scopus.com/inward/record.url?scp=84898725333&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84898725333&partnerID=8YFLogxK

U2 - 10.1103/PhysRevD.89.064053

DO - 10.1103/PhysRevD.89.064053

M3 - Article

VL - 89

JO - Physical review D: Particles and fields

JF - Physical review D: Particles and fields

SN - 1550-7998

IS - 6

M1 - 064053

ER -