scholarly journals An alternative path integral for quantum gravity

2016 ◽  
Vol 2016 (10) ◽  
Author(s):  
Chethan Krishnan ◽  
K. V. Pavan Kumar ◽  
Avinash Raju
Keyword(s):  
Quantum Gravity ◽  
Path Integral ◽  
Alternative Path

scholarly journals Topological violation of global symmetries in quantum gravity

2021 ◽  
Vol 2021 (9) ◽  
Author(s):  
Kazuya Yonekura
Keyword(s):  
Quantum Gravity ◽  
Global Symmetries ◽  
Gauge Field ◽  
Path Integral ◽  
Black Brane ◽  
Current Conservation ◽  
Charge Conservation ◽  
Local Current ◽  
Topological Construction ◽  
Breaking Term

Abstract We discuss a topological reason why global symmetries are not conserved in quantum gravity, at least when the symmetry comes from compactification of a higher form symmetry. The mechanism is purely topological and does not require any explicit breaking term in the UV Lagrangian. Local current conservation does not imply global charge conservation in a sum over geometries in the path integral. We explicitly consider the shift symmetry of an axion-like field which originates from the compactification of a p-form gauge field. Our topological construction is motivated by the brane/black-brane correspondence, brane instantons, and an idea that virtual black branes of a simple kind may be realized by surgery on spacetime manifolds.

Path-integral and operator formalism in quantum gravity

1987 ◽  
Vol 35 (8) ◽  
pp. 2309-2314 ◽  
Author(s):  
H. Arisue ◽  
T. Fujiwara ◽  
M. Kato ◽  
K. Ogawa
Keyword(s):  
Quantum Gravity ◽  
Path Integral ◽  
Operator Formalism

scholarly journals HIGHER DERIVATIVE QUANTUM GRAVITY WITH TORSION IN THE CONFORMALLY SELF-DUAL LIMIT

1993 ◽  
Vol 02 (01) ◽  
pp. 51-58 ◽  
Author(s):  
E. ELIZALDE ◽  
S.D. ODINTSOV
Keyword(s):  
Quantum Gravity ◽  
Path Integral ◽  
Scaling Law ◽  
Two Dimensional ◽  
Fixed Volume ◽  
Higher Derivative

The path integral for higher-derivative quantum gravity with torsion is considered. Applying the methods of two-dimensional quantum gravity, this path integral is analyzed in the limit of conformally self-dual metrics. A scaling law for fixed-volume geometry is obtained.

THE CONFORMAL FACTOR AND THE COSMOLOGICAL CONSTANT

1990 ◽  
Vol 05 (19) ◽  
pp. 3811-3829 ◽  
Author(s):  
STEVEN B. GIDDINGS
Keyword(s):  
Quantum Gravity ◽  
Cosmological Constant ◽  
Path Integral ◽  
Conformal Factor ◽  
Positive Cosmological Constant ◽  
Lorentzian Signature ◽  
Wrong Sign ◽  
Euclidean Signature

The issue of the conformal factor in quantum gravity is examined for Lorentzian signature spacetimes. In Euclidean signature, the “wrong” sign of the conformal action makes the path integral undefined, but in Lorentzian signature this sign is tied to the instability of gravity and once this is accounted for the path integral should be well-defined. In this approach it is not obvious that the Baum-Hawking-Coleman mechanism for suppression of the cosmological constant functions. It is conceivable that since the multiuniverse system exhibits an instability for positive cosmological constant, the dynamics should force the system to zero cosmological constant.

scholarly journals Quantum chaos inside black holes

2017 ◽  
Vol 32 (16) ◽  
pp. 1750087 ◽  
Author(s):  
Andrea Addazi
Keyword(s):  
Black Holes ◽  
Quantum Gravity ◽  
Path Integral ◽  
Quantum Chaos ◽  
Planck Scale ◽  
Integral Approach ◽  
Large Ensemble ◽  
Naked Singularities ◽  
Path Integral Approach ◽  
Full Quantum

We show how semiclassical black holes can be reinterpreted as an effective geometry, composed of a large ensemble of horizonless naked singularities (eventually smoothed at the Planck scale). We call these new items frizzy-balls, which can be rigorously defined by Euclidean path integral approach. This leads to interesting implications about information paradoxes. We demonstrate that infalling information will chaotically propagate inside this system before going to the full quantum gravity regime (Planck scale).

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