Abstract
We evaluate the one-graviton loop contribution to the vacuum polarization on de Sitter background in a 1-parameter family of exact, de Sitter invariant gauges. Our result is computed using dimensional regularization and fully renormalized with Bogoliubov, Parasiuk, Hepp and Zimmerman counterterms, which must include a noninvariant owing to the time-ordered interactions. Because the graviton propagator engenders a physical breaking of de Sitter invariance two structure functions are needed to express the result. In addition to its relevance for the gauge issue this is the first time a covariant gauge graviton propagator has been used to compute a noncoincident loop. A number of identities are derived which should facilitate further graviton loop computations.
| Original language | English |
|---|---|
| Article number | 195014 |
| Journal | Classical and Quantum Gravity |
| Volume | 32 |
| Issue number | 19 |
| DOIs | |
| Publication status | Published - 2015 Sep 15 |
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All Science Journal Classification (ASJC) codes
- Physics and Astronomy (miscellaneous)
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Graviton loop corrections to vacuum polarization in de Sitter in a general covariant gauge. / Glavan, D.; Miao, Shun-Pei; Prokopec, Tomislav; Woodard, R. P.
In: Classical and Quantum Gravity, Vol. 32, No. 19, 195014, 15.09.2015.Research output: Contribution to journal › Article
TY - JOUR
T1 - Graviton loop corrections to vacuum polarization in de Sitter in a general covariant gauge
AU - Glavan, D.
AU - Miao, Shun-Pei
AU - Prokopec, Tomislav
AU - Woodard, R. P.
PY - 2015/9/15
Y1 - 2015/9/15
N2 - We evaluate the one-graviton loop contribution to the vacuum polarization on de Sitter background in a 1-parameter family of exact, de Sitter invariant gauges. Our result is computed using dimensional regularization and fully renormalized with Bogoliubov, Parasiuk, Hepp and Zimmerman counterterms, which must include a noninvariant owing to the time-ordered interactions. Because the graviton propagator engenders a physical breaking of de Sitter invariance two structure functions are needed to express the result. In addition to its relevance for the gauge issue this is the first time a covariant gauge graviton propagator has been used to compute a noncoincident loop. A number of identities are derived which should facilitate further graviton loop computations.
AB - We evaluate the one-graviton loop contribution to the vacuum polarization on de Sitter background in a 1-parameter family of exact, de Sitter invariant gauges. Our result is computed using dimensional regularization and fully renormalized with Bogoliubov, Parasiuk, Hepp and Zimmerman counterterms, which must include a noninvariant owing to the time-ordered interactions. Because the graviton propagator engenders a physical breaking of de Sitter invariance two structure functions are needed to express the result. In addition to its relevance for the gauge issue this is the first time a covariant gauge graviton propagator has been used to compute a noncoincident loop. A number of identities are derived which should facilitate further graviton loop computations.
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U2 - 10.1088/0264-9381/32/19/195014
DO - 10.1088/0264-9381/32/19/195014
M3 - Article
VL - 32
JO - Classical and Quantum Gravity
JF - Classical and Quantum Gravity
SN - 0264-9381
IS - 19
M1 - 195014
ER -