scholarly journals Perturbative quantum gravity in double field theory

2016 ◽  
Vol 2016 (4) ◽  
pp. 1-38 ◽  
Author(s):  
Rutger H. Boels ◽  
Christoph Horst
Keyword(s):  
Field Theory ◽  
Quantum Gravity ◽  
Double Field Theory ◽  
Perturbative Quantum

scholarly journals Non-Riemannian gravity actions from double field theory

2021 ◽  
Vol 2021 (6) ◽  
Author(s):  
A. D. Gallegos ◽  
U. Gürsoy ◽  
S. Verma ◽  
N. Zinnato
Keyword(s):  
Field Theory ◽  
Quantum Gravity ◽  
Condensed Matter ◽  
Equations Of Motion ◽  
Technical Note ◽  
Action Principle ◽  
Relativistic Symmetry ◽  
Gravitational Theories ◽  
Double Field Theory

Abstract Non-Riemannian gravitational theories suggest alternative avenues to understand properties of quantum gravity and provide a concrete setting to study condensed matter systems with non-relativistic symmetry. Derivation of an action principle for these theories generally proved challenging for various reasons. In this technical note, we employ the formulation of double field theory to construct actions for a variety of such theories. This formulation helps removing ambiguities in the corresponding equations of motion. In particular, we embed Torsional Newton-Cartan gravity, Carrollian gravity and String Newton-Cartan gravity in double field theory, derive their actions and compare with the previously obtained results in literature.

Final remarks on Part II

2021 ◽  
pp. 503-503
Author(s):  
Iosif L. Buchbinder ◽  
Ilya L. Shapiro
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Quantum Gravity ◽  
Cosmological Constant ◽  
General Situation ◽  
Quantum Field ◽  
Gravitational Effects ◽  
Higher Derivative ◽  
Perfect Model ◽  
Perturbative Quantum

This brief concluding chapter summarizes the general situation in semiclassical theory and quantum gravity. Even in the framework of the usual perturbative quantum field theory, there are several approaches leading to theoretically satisfactory models of quantum gravitational effects, starting from quantum field theory in curved spacetime. Here, the expression “satisfactory” does not mean perfectness, as there is no theoretically perfect model of quantum gravity. The chapter then goes on to review the main unsolved problems of quantum gravity, such as higher-derivative ghosts and instabilities and the cosmological constant problem. It concludes with the hope that the basic aspects of the models presented in this book will be useful for anyone who intends to start working in this fascinating area.

Introduction to Quantum Field Theory with Applications to Quantum Gravity

2021 ◽  
Author(s):  
Iosif L. Buchbinder ◽  
Ilya Shapiro
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Quantum Gravity ◽  
Effective Action ◽  
Gauge Theories ◽  
Basic Material ◽  
Quantum Field ◽  
Perturbative Quantum ◽  
Classical Fields ◽  
General Gauge

This book focuses on quantum field theory and its application to gravitational physics, in both semiclassical and full quantum frameworks, with special attention paid to renormalization, gauge theories and, especially, effective action formalism. Part I provides both conceptual and technical introductions to quantum field theory, starting from elements of group theory, through classical fields, up to effective action formalism in general gauge theories. Compared to other books on this topic, this book describes the general formalism of renormalization in more detail and pays more attention to gauge theories. Part II discusses basic aspects of quantum field theory in curved spacetime and perturbative quantum gravity. More than half of this part is written with a full exposition of details, including well-explained examples with simple calculations. All chapters include exercises, which range from very simple ones to those requiring small original investigations. The material in the second part was selected on the basis of the “must-know” principle: while detailed expositions are provided for relatively simple techniques and calculations, it is expected that the interested reader will be able to learn more advanced issues independently after learning the basic material and working through the exercises provided. In some cases, when more complicated subjects were discussed, the book only provides references for the original publications, where the reader can find the full details of the calculations used.

scholarly journals Double field theory algebroid and curved L∞-algebras

2021 ◽  
Vol 62 (5) ◽  
pp. 052302
Author(s):  
Clay James Grewcoe ◽  
Larisa Jonke
Keyword(s):  
Field Theory ◽  
Double Field Theory

scholarly journals Gauged double field theory as an L∞ algebra

2021 ◽  
Vol 2021 (6) ◽  
Author(s):  
Eric Lescano ◽  
Martín Mayo
Keyword(s):  
Field Theory ◽  
Algebraic Structure ◽  
Classical Field ◽  
Field Theories ◽  
Lie Derivative ◽  
Linear Perturbation ◽  
Double Field Theory ◽  
Generalized Frame ◽  
Symmetry Transformations ◽  
Classical Field Theories

Abstract L∞ algebras describe the underlying algebraic structure of many consistent classical field theories. In this work we analyze the algebraic structure of Gauged Double Field Theory in the generalized flux formalism. The symmetry transformations consist of a generalized deformed Lie derivative and double Lorentz transformations. We obtain all the non-trivial products in a closed form considering a generalized Kerr-Schild ansatz for the generalized frame and we include a linear perturbation for the generalized dilaton. The off-shell structure can be cast in an L3 algebra and when one considers dynamics the former is exactly promoted to an L4 algebra. The present computations show the fully algebraic structure of the fundamental charged heterotic string and the $$ {L}_3^{\mathrm{gauge}} $$ L 3 gauge structure of (Bosonic) Enhanced Double Field Theory.

scholarly journals High energy scattering in perturbative quantum gravity at next-to-leading power

2021 ◽  
Vol 103 (6) ◽  
Author(s):  
Ratindranath Akhoury ◽  
Ryo Saotome ◽  
George Sterman
Keyword(s):  
Quantum Gravity ◽  
High Energy ◽  
Energy Scattering ◽  
Perturbative Quantum ◽  
High Energy Scattering

scholarly journals Dual subtractions

2021 ◽  
Vol 2021 (6) ◽  
Author(s):  
Renato Maria Prisco ◽  
Francesco Tramontano
Keyword(s):  
Field Theory ◽  
Quantum Field ◽  
Matrix Elements ◽  
Leading Order ◽  
Initial State ◽  
Final State ◽  
Dual Representation ◽  
Subtraction Scheme ◽  
Theoretical Predictions ◽  
Perturbative Quantum

Abstract We propose a novel local subtraction scheme for the computation of Next-to-Leading Order contributions to theoretical predictions for scattering processes in perturbative Quantum Field Theory. With respect to well known schemes proposed since many years that build upon the analysis of the real radiation matrix elements, our construction starts from the loop diagrams and exploits their dual representation. Our scheme implements exact phase space factorization, handles final state as well as initial state singularities and is suitable for both massless and massive particles.

scholarly journals Singularity Theorems in the Effective Field Theory for Quantum Gravity at Second Order in Curvature

Universe ◽  
2020 ◽  
Vol 6 (10) ◽  
pp. 171
Author(s):  
Folkert Kuipers ◽  
Xavier Calmet
Keyword(s):  
Field Theory ◽  
Quantum Gravity ◽  
Effective Field Theory ◽  
Energy Condition ◽  
Null Energy Condition ◽  
Effective Field ◽  
Second Order ◽  
Jordan Frame ◽  
Singularity Theorems ◽  
Massive Spin

In this paper, we discuss singularity theorems in quantum gravity using effective field theory methods. To second order in curvature, the effective field theory contains two new degrees of freedom which have important implications for the derivation of these theorems: a massive spin-2 field and a massive spin-0 field. Using an explicit mapping of this theory from the Jordan frame to the Einstein frame, we show that the massive spin-2 field violates the null energy condition, while the massive spin-0 field satisfies the null energy condition, but may violate the strong energy condition. Due to this violation, classical singularity theorems are no longer applicable, indicating that singularities can be avoided, if the leading quantum corrections are taken into account.

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