Conformal symmetry breaking and quantization in curved space-time

1978 ◽  
Vol 65 (4) ◽  
pp. 282-284 ◽  
Author(s):  
V.M. Frolov ◽  
A.A. Grib ◽  
V.M. Mostepanenko
Keyword(s):  
Symmetry Breaking ◽  
Conformal Symmetry ◽  
Space Time ◽  
Curved Space

Symmetry breaking in conformal Einstein–Hilbert action

2015 ◽  
Vol 93 (11) ◽  
pp. 1352-1355
Author(s):  
M.R. Tanhayi ◽  
S. Ejlali
Keyword(s):  
Symmetry Breaking ◽  
Conformal Symmetry ◽  
Scalar Fields ◽  
Space Time ◽  
Massless Scalar ◽  
Conformally Invariant ◽  
Free Theory ◽  
Massless Spin ◽  
Background Space ◽  
Hilbert Action

In this paper, we study the conformal symmetry breaking in conformally invariant Hilbert–Einstein action via expansion of action up to second order around the background space–time. It is shown that the theory can be described a non-tachyonic and ghost-free theory that propagates massless spin-2, massive gauge, and also massless scalar fields.

Quantum fields in curved spacetime

2018 ◽  
Author(s):  
Michael Kachelriess
Keyword(s):  
Event Horizon ◽  
Particle Production ◽  
Conformal Symmetry ◽  
Space Time ◽  
Unruh Effect ◽  
Quantum Fields ◽  
Curved Spacetime ◽  
Bogolyubov Transformation ◽  
Curved Space ◽  
Thermal Spectrum

After a review of conformal symmetry, this chapter covers the quantisation of fields in curved space-times. It is shown that field operators defined with respect to different vacua are related by a Bogolyubov transformation and that the mixing of positive and negative frequencies determines the amount of particle production. The Unruh effect is explained and it is shown that in a space-time with an event horizon, a thermal spectrum of particles is created close to the horizon.

scholarly journals Chiral fermions on 2D curved space–times

2017 ◽  
Vol 32 (16) ◽  
pp. 1750092 ◽  
Author(s):  
Farhang Loran
Keyword(s):  
Green’S Function ◽  
Green's Function ◽  
Short Distance ◽  
Singular Term ◽  
Conformal Symmetry ◽  
Flat Space ◽  
Space Time ◽  
Two Dimensions ◽  
Quantization Scheme ◽  
Curved Space

The theory of free Majorana–Weyl spinors is the prototype of conformal field theory in two dimensions in which the gravitational anomaly and the Weyl anomaly obstruct extending the flat space–time results to curved backgrounds. In this paper, we investigate a quantization scheme in which the short distance singularity in the two-point function of chiral fermions on a two-dimensional curved space–time is given by the Green’s function corresponding to the classical field equation. We compute the singular term in the Green’s function explicitly and observe that the short distance limit is not well-defined in general. We identify constraints on the geometry which are necessary to resolve this problem. On such special backgrounds, the theory has locally [Formula: see text] conformal symmetry.

Twisted quantum fields in a curved space–time

1978 ◽  
Vol 362 (1710) ◽  
pp. 383-404 ◽  
Keyword(s):  
Symmetry Breaking ◽  
Spontaneous Symmetry Breaking ◽  
Cross Sections ◽  
Vector Bundles ◽  
Scalar Fields ◽  
Space Time ◽  
Complex Scalar ◽  
Curved Space ◽  
Product Vector ◽  
Twisted Fields

Non-trivial space–time topology leads to the possibility of twisted fields viewed as cross sections of non-product vector bundles. For globally hyperbolic space–times twisted real and complex scalar fields are especially interesting, and are in one-to-one correspondence with certain groups determined by the space–time topology. Twisted fields can be quantized and lead to results differing from the usual ones. For example, spontaneous symmetry breaking may be suppressed and regularized vacuum self-energies take on different values. Sets of twisted fields may be collected together into a type of super-multiplet whose size is determined by the space–time topology.

Path integrals and the solution of the Schwinger model in curved space-time

1986 ◽  
Vol 33 (8) ◽  
pp. 2262-2266 ◽  
Author(s):  
J. Barcelos-Neto ◽  
Ashok Das
Keyword(s):  
Path Integrals ◽  
Space Time ◽  
Curved Space ◽  
Schwinger Model

scholarly journals ε-EXPANSION IN QUANTUM FIELD THEORY IN CURVED SPACE–TIME

1998 ◽  
Vol 13 (16) ◽  
pp. 2857-2874
Author(s):  
IVER H. BREVIK ◽  
HERNÁN OCAMPO ◽  
SERGEI ODINTSOV
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Space Time ◽  
Quantum Field ◽  
Curved Space ◽  
Njl Model ◽  
Effective Lagrangian ◽  
Special Solutions ◽  
Curvature Approximation ◽  
Symmetric Phase

We discuss ε-expansion in curved space–time for asymptotically free and asymptotically nonfree theories. The existence of stable and unstable fixed points is investigated for fϕ4 theory and SU(2) gauge theory. It is shown that ε-expansion maybe compatible with aysmptotic freedom on special solutions of the RG equations in a special ase (supersymmetric theory). Using ε-expansion RG technique, the effective Lagrangian for covariantly constant gauge SU(2) field and effective potential for gauged NJL model are found in (4-ε)-dimensional curved space (in linear curvature approximation). The curvature-induced phase transitions from symmetric phase to asymmetric phase (chromomagnetic vacuum and chiral symmetry broken phase, respectively) are discussed for the above two models.

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