# Quantum field theory in curved graphene spacetimes, Lobachevsky geometry, Weyl symmetry, Hawking effect, and all that

@article{Iorio2014QuantumFT, title={Quantum field theory in curved graphene spacetimes, Lobachevsky geometry, Weyl symmetry, Hawking effect, and all that}, author={Alfredo Iorio and Gaetano Lambiase}, journal={Physical Review D}, year={2014}, volume={90}, pages={025006} }

The solutions of many issues, of the ongoing eorts to make deformed graphene a tabletop quantum eld theory in curved spacetimes, are presented. A detailed explanation of the special features of curved spacetimes, originating from embedding portions of the Lobachevsky plane into R 3 , is given, and the special role of coordinates for the physical realizations in graphene, is explicitly shown, in general, and for various examples. The Rindler spacetime is reobtained, with new important dierences…

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## References

SHOWING 1-10 OF 61 REFERENCES

Quantum Fields in Curved Space

- Physics
- 1980

This book presents a comprehensive review of the subject of gravitational effects in quantum field theory. Although the treatment is general, special emphasis is given to the Hawking black hole…

Alternative Symmetries in Quantum Field Theory and Gravity

- Physics
- 2010

A general, incomplete and partisan overview of various areas of the theoretical investigation is presented. Most of this activity stems from the search for physics beyond quantum field theory and…

The gauge/gravity duality

- Physics
- 2011

In this chapter we explain the gauge/gravity duality [1–3], which is a motivation for studying black hole solutions in various numbers of dimensions. The gauge/gravity duality is an equality between…

Discrete Approaches to Quantum Gravity in Four Dimensions

- PhysicsLiving reviews in relativity
- 1998

Three major areas of research are reviewed: gauge-theoretic approaches, both in a path-integral and a Hamiltonian formulation; quantum Regge calculus; and the method of dynamical triangulations, confining attention to work that is strictly four-dimensional, strictly discrete, and strictly quantum in nature.

Black hole boundaries

- Physics
- 2005

Classical black holes and event horizons are highly nonlocal objects, defined in relation to the causal past of future null infinity. Alternative, quasilocal characterizations of black holes are…

A comprehensive introduction to differential geometry

- Mathematics
- 1975

Spivak's Comprehensive introduction takes as its theme the classical roots of contemporary differential geometry. Spivak explains his Main Premise (my term) as follows: "in order for an introduction…

Geometry of surfaces

- Mathematics
- 1992

This text intends to provide the student with the knowledge of a geometry of greater scope thatn the classical geometry taught today, which is no longer an adequate basis for mathematics of physics,…

Graphene synthesis and band gap opening.

- ChemistryJournal of nanoscience and nanotechnology
- 2011

This review summarizes recent developments in the synthesis methods for graphene, and summarizes the developments in graphene nanoribbon synthesis and methods to open band gap in graphene, in addition to pointing out a direction for future research and developments.

A Treatise on the Differential Geometry of Curves and Surfaces

- MathematicsNature
- 1910

THE well-known works of Darboux and Bianchi are so excellent, each in its own way, that one might be inclined to doubt whether another text-book on the subject was really required—at least, for the…