quantum field
140264614
Lectures on solvable irrelevant deformations of 2d quantum field theory
This is a pedagogical review on TT deformation of two dimensional quantum field theories. It is based on three lectures which the author gave at ITP CAS in December 2018. The first lecture is a general introduction to TT deformation. Special emphasises are put on the deformed classical Lagrangian and the exact solvability of the spectrum. The second lecture focuses on the torus partition sum of the TT/JT deformed conformal field theories and modular invariance/covariance. In the third lecture, different perspectives of TT deformation are presented, including its relation to random geometry, Jackiw Teitelbolm gravity and holography. These lectures are intended for non experts who want to learn about this field for the first time. ar X iv :1 90 4. 13 37 6v 1 he pth 3 0 A pr 2 01 9
Yunfeng Jiang
155587606
arXiv Lectures on solvable irrelevant deformations of 2d quantum field theory
This is a pedagogical review on \mathrm{T}\overline{\mathrm{T} deformation of two dimensional quantum field theories. It is based on three lectures which the author gave at ITP CAS in December 2018. The first lecture is a general introduction to \mathrm{T}\overline{\mathrm{T} deformation. Special emphasises are put on the deformed classical Lagrangian and the exact solvability of the spectrum. The second lecture focuses on the torus partition sum of the \mathrm{T}\overline{\mathrm{T}\mathrm{J}\overline{\mathrm{T} deformed conformal field theories and modular invariance/covariance. In the third lecture, different perspectives of \mathrm{T}\overline{\mathrm{T} deformation are presented, including its relation to random geometry, Jackiw Teitelbolm gravity and holography. These lectures are intended for non experts who want to learn about this field for the first time.
Yunfeng Jiang
21708206
Quantum Field Theory in a Nutshell
This chapter provides a survey of quantum electrodynamics, the quantum theory of the electromagnetic field and its interaction with electrically charged particles, such as electrons. We start by formulating Hamiltonians to describe how a quantum mechanical electron is affected by classical electric and magnetic fields. Next, we describe the quantization of Maxwell's equations, which yields a quantum field theory in which the elementary excitations are photons particles of light. The last step is to formulate a theory in which both electrons and photons are treated on the same footing, as excitations of underlying quantum fields. Along the way, we will see how relativity can be accomodated within quantum mechanics.
Yidong Chong
121547190
Quantum field theory
This book is a modern pedagogic introduction to the ideas and techniques of quantum field theory. After a brief overview of particle physics and a survey of relativistic wave equations and Lagrangian methods, the quantum theory of scalar and spinor fields, and then of gauge fields, is developed. The emphasis throughout is on functional methods, which have played a large part in modern field theory. The book concludes with a brief survey of 'topological' objects in field theory and, new to this edition, a chapter devoted to supersymmetry.
Lewis H Ryder
119130381
Numbers and functions in quantum field theory
We review recent results in the theory of numbers and single valued functions on the complex plane which arise in quantum field theory. We use the results to calculate the renormalization functions \beta$ \gamma$ \gamma_m$ of dimensionally regularized \phi^4$ theory in the minimal subtraction scheme up to seven loops.
Oliver Schnetz
119095794
Large Nf quantum field theory
We review the development of the large N method, where N indicates the number of flavours, used to study perturbative and nonperturbative properties of quantum field theories. The relevant historic.
John A Gracey
119152424
Analytic Computing Methods for Precision Calculations in Quantum Field Theory
An overview is presented on the current status of main mathematical computation methods for the multi loop corrections to single scale observables in quantum field theory and the associated mathematical number and function spaces and algebras. At present massless single scale quantities can be calculated analytically in QCD to 4 loop order and single mass and double mass quantities to 3 loop order, while zero scale quantities have been calculated to 5 loop order. The precision requirements of the planned measurements, particularly at the FCC ee, form important challenges to theory, and will need important extensions of the presently known methods.
Johannes Blumlein Carsten Schneider
125955891
Quantum field theory approach to condensed matter physics
Condensedmatter theory is currently enjoying a huge surge of new developments and interest, possibly spurred by recent experimental work developing quantum spin Hall effect devices and topological insulators. These 'strongly interacting' systems exhibit a rich set of behaviors, and quantum field theory has become the most natural method to describe interacting many particle quantum mechanical systems. Consequently, there are now a fair number of books covering the application of quantum field theory to condensed matter systems. Eduardo Marino's text begins by covering a 'canonical' set of topics: a four chapter review 'Part 1' of condensed matter physics, in which standard topics such as crystal lattice structures, phonons, and magnetic order are introduced. This is followed by an eight chapter review 'Part 2' of quantumfield theory, in which functional integrals, interacting fields and renormalisation, and symmetry breaking are presented. Several of these chapters concern themselves with topological excitations. Interestingly, Marino has designed this book to be used for different purposes. For example, chapters 1 7 comprise an introductory course on condensed matter physics and quantum field theory, which could then be followed by the more advanced sequence of chapters 8 13. That said, it's important to mention that there are no homework problems or exercises for the reader to complete. Chapters 14 30 are then 'specialised topics' covering a variety of materials and mechanisms. Alternatively, a reader could follow several different paths which present the applications of specific procedures: one set of chapters (7, 9, 10, 15, 18, and 30) cover symmetries, while the sequence of chapters covering planar systems runs through chapters 12, 27 (graphene) and 28 (dichalcogenides) Other threads include superconductivity and solitons. Marino's book really distinguishes itself in Part 3 nearly 20 chapters describing how quantum field theory is applied to different condensed matter systems. As an example, in the chapter on Polyethylene, Marino takes pains to make explicit parallels between the Standard Model's use of coupling to the Higgs field to endow elementary particles with mass and the Peierls mechanism, in which the electron lattice interaction in a polymer results in a band gap, endowing the material with insulating rather than metallic properties and further, allowing the existence of soliton excitations. Marino specifically mentions in his introduction that his book covers topics for which there is not yet complete understanding (Cuprate and pnictide superconductors, for example) and recent topics (Weyl semimetals and quantum computation) and asks the reader to understand that the risks associated with including these topics is balanced by the benefit of making the book more interesting and exciting. On this point, I wholeheartedly agree this book really shines when discussing these 'bleeding edge' topics, which stand in nice counterbalance to the 'standard' material covered in Parts 1 and 2. The intended audience is quite broad, ranging fromgraduate students to researchers in the fields of condensed matter, quantum field theory, materials science, and statistical mechanics; I am hopeful that this audience will find value in this source for many years to come.
Andrew Resnick
118750968
Precision decay rate calculations in quantum field theory
Tunneling in quantum field theory is worth understanding properly, not least because it controls the long term fate of our universe. There are however, a number of features of tunneling rate calculations which lack a desirable transparency, such as the necessity of analytic continuation, the appropriateness of using an effective instead of classical potential, and the sensitivity to short distance physics. This paper attempts to review in pedagogical detail the physical origin of tunneling and its connection to the path integral. Both the traditional potential deformation method and a recent more direct propagator based method are discussed. Some new insights from using approximate semi classical solutions are presented. In addition, we explore the sensitivity of the lifetime of our universe to short distance physics, such as quantum gravity, emphasizing a number of important subtleties.
Anders Johan Andreassen David Farhi William Frost Matthew D Schwartz
119336849
Renormalization in open quantum field theory. Part I. Scalar field theory
A bstractWhile the notion of open quantum systems is itself old, most of the existing studies deal with quantum mechanical systems rather than quantum field theories. After a brief review of field theoretical/path integral tools currently available to deal with open quantum field theories, we go on to apply these tools to an open version of ph3 ph4 theory in four spacetime dimensions and demonstrate its one loop renormalizability (including the renormalizability of the Lindblad structure)
Avinash Baidya Chandan Jana R Loganayagam Arnab Rudra