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This paper reviews the concept of pp-waves **and** plane waves in **classical** general **relativity** **theory**. The first four sections give discussions of some algebraic constructions **and** symmetry concepts which ... 4-dimensional Ricci-flat manifolds which admit a metric. J. Geom. Phys. 89, 50–59 (2015)MathSciNetCrossRefGoogle Scholar
17.
Hall, G.S.: Symmetries, Orbits **and** Isotropy in General **Relativity** **Theory**

The field equations of a proposed nonsymmetric **theory** of **gravitation** are derived when electro-magnetic fields are present, by adopting a nonminimal coupling which ensures the validity of the ... neutral point particle has been obtained [3], together with its implications for the motion of light **and** test particles. The **theory** is shown [3] to be consistent with all four general **relativity** solar tests

states quantization. Our results show that **quantum** dynamics is regular in the sense that during **quantum** evolution the expectation values of all considered observables are finite. The **classical** singularity ... considered gravitational system. Our results suggest that **quantum** general **relativity** has a good chance to be free from singularities.
1 Introduction
It is believed that the cosmological **and** astrophysical

Abstract We perform microcanonical **classical** statistical lattice simulations of SU(N) Yang-Mills **theory** with eight scalars on a circle. Measuring the eigenvalue distribution of the spatial Wilson ... . Dzienkowski, Large N **classical** dynamics of holographic matrix models, Phys. Rev. D 87 (2013) 084044 [arXiv:1211.3425] [INSPIRE].
[42]
S. Aoki, M. Hanada **and** N. Iizuka, **Quantum** Black Hole Formation in the BFSS

, are not observed on the **classical** macroscopic level. By discussing two simple model problems connected via the free-particle propagator, we show under what circumstances typical **quantum** effects that ... , which made possible the visit of the first author to Mexico.
References
1. E. Joos et al., Decoherence **and** the Appearance of a **Classical** World in **Quantum** **Theory** 2nd Edn (Berlin: Springer 2003

equivariant **quantum** cohomology classes of the cotangent bundle of Grassmann manifolds **and** the equivariant **quantum** cohomology ring. Also, we study the twisted chiral ring relations of supersymmetric Wilson loops ... Supersymmetric Gauge **Theory** Supersymmetry **and** Duality Differential **and** Algebraic Geometry Integrable Field Theories
ArXiv ePrint: 1605.07165
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Notes
Open Access

analogies between **quantum** information processing tasks **and** the combinatorics of composite **quantum** fields **and** argue that this can be fruitful interface between **quantum** information **and** **quantum** field **theory** ... ) 060401.ADSCrossRefGoogle Scholar
[19]
G. Gutoski **and** J. Watrous, Toward a general **theory** of **quantum** games, in Proceeding of the 39th Annual ACM Symposium on **Theory** of Computation, San Diego, California

algorithmic applications of communication protocols: - **Quantum** Communication Protocols **and** Deterministic Approximate Counting. Our first connection is that a fast BQP communication protocol for a function f ... Subject Classification **Theory** of computation ? Communication complexity
**and** phrases **Quantum** communication protocols; Arthur-Merlin communication protocols; approximate counting; approximate rank

Motivated by gauge **theory**, we develop a general framework for chain complex-valued algebraic **quantum** field theories. Building upon our recent operadic approach to this subject, we show that the ... normalized cochain algebras on \(\infty \)-stacks, **and** (2) fiber-wise groupoid cohomology of a category fibered in groupoids with coefficients in a strict **quantum** field **theory**.
KeywordsAlgebraic **quantum** field

**and** we obtain a simple proof of its monotonicity. Its monotonicity implies a class of constraints on correlation functions in **quantum** field **theory**, only a small set of which were known to us. We explore ... ].MathSciNetCrossRefzbMATHGoogle Scholar
[9]
V. Vedral, The role of relative entropy in **quantum** information **theory**, Rev. Mod. Phys. 74 (2002) 197 [INSPIRE].ADSMathSciNetCrossRefzbMATHGoogle Scholar
[10]
H. Araki **and** T. Masuda

The exploration of hybrid **quantum**-**classical** algorithms **and** programming models on noisy near-term **quantum** hardware has begun. As hybrid programs scale towards **classical** intractability, validation **and** ... demonstrate a newly developed **quantum** circuit simulator based on tensor network **theory** that enables intermediate-scale verification **and** validation of hybrid **quantum**-**classical** computing frameworks **and**

A two-dimensional **classical** hyperspace fluid **theory** of the vacuum which is an alternative to Schrödinger **quantum** **theory** involves a stirring energy density. This energy density, like entropy density ... Journal of Applied Mathematics **and** Simulation
**CLASSICAL** VARIATIONAL BASIS FOR SCHRODINGER **QUANTUM** **THEORY***
James G. Gilson 0
0 AMS Subject Classification: 81C05 , 76C05
A two-dimensional **classical**

Abstract The double copy is a map from non-abelian gauge theories to gravity, that has been demonstrated both for scattering amplitudes **and** exact **classical** solutions. In this study, we reconsider the ... :0805.3993] [INSPIRE].
[2]
Z. Bern, J.J.M. Carrasco **and** H. Johansson, Perturbative **quantum** gravity as a double copy of gauge **theory**, Phys. Rev. Lett. 105 (2010) 061602 [arXiv:1004.0476] [INSPIRE].
[3]
Z

double field **theory** (DFT) **and** supergravities. We introduce a generalized KS ansatz for the generalized metric in terms of a pair of null vectors. Applying this ansatz to the equations of motion of DFT, we ... supersymmetric **classical** double copy which shows that solutions of the Killing spinor equation can be realized in terms of solutions of the BPS equation of the supersymmetric Maxwell **theory**.
Keywords **Classical**

action, giving rise to an infinite set of commuting conserved charges, implying the integrability of the system. Noteworthy, the **theory** at the boundary is non-relativistic **and** possesses anisotropic scaling ... three spacetime dimensions, Class. Quant. Grav. 24 (2007) F15 [gr-qc/0610130] [INSPIRE].
[20]
E. Witten, **Quantum** Field **Theory** **and** the Jones Polynomial, Commun. Math. Phys. 121 (1989) 351 [INSPIRE

We present a model—a modified standard map. This model has interesting properties that allow **quantum**–**classical** correspondences to be studied. For some range of parameters in the **classical** phase space ... ].
In this paper, we study the **classical** **and** **quantum** dynamics of a system, for a particular range of parameters for which AMs exist. Because AMs have an important practical interpretation [9, 10, 11, 12

Abstract We rewrite the Chern-Simons description of pure gravity on global AdS3 **and** on Euclidean BTZ black holes as a **quantum** field **theory** on the AdS boundary. The resulting **theory** is (two copies of ... , Springer, (2009).Google Scholar
[40]
H.L. Verlinde, Conformal Field **Theory**, 2-D **Quantum** Gravity **and** Quantization of Teichmüller Space, Nucl. Phys. B 337 (1990) 652 [INSPIRE].
[41]
H.L. Verlinde **and** E.P

A two-dimensional **classical** hyperspace fluid **theory** of the vacuum which is an alternative to Schrödinger **quantum** **theory** involves a stirring energy density. This energy density, like entropy density ... Journal of Applied Mathematics **and** Simulation
**CLASSICAL** VARIATIONAL BASIS FOR SCHRODINGER **QUANTUM** **THEORY***
James G. Gilson 0
0 AMS Subject Classification: 81C05 , 76C05
A two-dimensional **classical**

applied the **Quantum** **Theory** of Atoms in Molecules (QTAIM) metodology to characterize the carbonium **and** carbenium ions on an easier **and** more effective way. By comparing selected topological information of ... solvolysis are limited, the Gassman-Fentiman tool may be considered ineffective.28
The **quantum** **theory** of atoms in molecules (QTAIM) was used to study many carbonium ions, such as proponium **and** 2-norbornyl

Argyres-Douglas theories to the **quantum** mechanical models with cubic **and** double well potentials. ... **and** J. Reuter, Exact solutions to **quantum** spectral curves by topological string **theory**, JHEP 10 (2015) 025 [arXiv:1506.09176] [INSPIRE].ADSMathSciNetCrossRefzbMATHGoogle Scholar
[58]
X. Wang, G. Zhang