Renormalization group properties of higher derivative quantum gravity with matter in (4-epsilon)-dimensions - INSPIRE

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Renormalization group properties of higher derivative quantum gravity with matter in (4-epsilon)-dimensions

Emili Elizalde
(
- Blanes, CAS and
- Barcelona U.
)
,
Sergei D. Odintsov
(
- Barcelona U.
)
,
August Romeo
(
- Blanes, CAS
)

Feb, 1995

27 pages

Published in:

Nucl.Phys.B 462 (1996) 315-332

e-Print:

hep-th/9502131 [hep-th]

DOI:

10.1016/0550-3213(95)00674-5

Report number:

CEAB-95-2-18

View in:

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Abstract: (DESY)

We investigate the phase structure and the infrared properties of higher-derivative quantum gravity (QG) ---in its conformal and general versions--- with matter, in

4-\varepsilon

dimensions. The renormalization group (RG) equations in

4-\varepsilon

dimensions are analysed for the following types of matter: the

f\varphi~4

-theory, the

O(N) \varphi~4

-theory, scalar electrodynamics, and the

SU(2)

model with scalars. New fixed points for the scalar coupling appear ---one of which is IR stable--- being some of them induced by QG. The IR stable fixed point perturbed by QG leads to a second-order phase transition for the theory at non-zero temperature. The RG improved effective potential in the

SU(2)

theory (which can be considered as the confining phase of the standard model) at nonzero temperature is calculated and it is shown that its shape is clearly influenced by QG.

Note:

LaTeX, 24 pages, 3 uu-figures

04.62.+v
04.60.-m
12.10.Dm
quantum gravity
field theory: scalar
gauge field theory: Yang-Mills
field theory: action
renormalization group
epsilon expansion
effective potential

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