http://cds.cern.ch/record/262851/files/9405029.pdf

Supersymmetry and quantum mechanics

Singular Integral Equations. By N.I. Muskhelishvili. Translated fromthe 2nd Russian edition by J.R.M. Radok. Pp. 447. F1. 28.50. 1953. (Noordhoff, Groningen)

The authors review the theory and phenomenology of instantons in quantum chromodynamics (QCD). After a general overview, they provide a pedagogical introduction to semiclassical methods in quantum mechanics and field theory. The main part of the review summarizes our understanding of the instanton liquid in QCD and the role of instantons in generating the spectrum of light hadrons. The authors also discuss properties of instantons at finite temperature and how instantons can provide a mechanism for the chiral phase transition. They give an overview of the role of instantons in some other models, in particular low-dimensional sigma models, electroweak theory, and supersymmetric QCD.

http://wonka.physics.ncsu.edu/~tmschaef/physics/RevModPhys_Instantons.pdf

Instantons in QCD

https://dspace.library.uu.nl/bitstream/handle/1874/15996/dewit_88_quantummechanics.pdf;sequence=1

On the quantum mechanics of supermembranes

Seventy five years ago, three remarkable papers by Schr¨ odinger, Kennard and Darwin were published. They were devoted to the evolution of Gaussian wave packets for an oscillator, a free particle and a particle moving in uniform constant electric and magnetic fields. From the contemporary point of view, these packets can be considered as prototypes of the coherent and squeezed states, which are, in a sense, the cornerstones of modern quantum optics. Moreover, these states are frequently used in many other areas, from solid state physics to cosmology. This paper gives a review of studies performed in the field of so-called ‘nonclassical states’ (squeezed states are their simplest representatives) over the past seventy five years, both in quantum optics and in other branches of quantum physics. My starting point is to elucidate who introduced different concepts, notions and terms, when, and what were the initial motivations of the authors. Many new references have been found which enlarge the ‘standard citation package’ used by some authors, recovering many undeservedly forgotten (or unnoticed) papers and names. Since it is practically impossible to cite several thousand publications, I have tried to include mainly references to papers introducing new types of quantum states and studying their properties, omitting many publications devoted to applications and to the methods of generation and experimental schemes, which can be found in other well known reviews. I also mainly concentrate on the initial period, which terminated approximately at the border between the end of the 1980s and the beginning of the 1990s, when several fundamental experiments on the generation of squeezed states were performed and the first conferences devoted to squeezed and ‘nonclassical’ states commenced. The 1990s are described in a more ‘squeezed’ manner: I have confined myself to references to papers where some new concepts have been introduced, and to the most recent reviews or papers with extensive bibliographical lists.

/pdf/nonclassical-states-in-quantum-optics-a-squeezed-review-of-1899ims4cu.pdf

'Nonclassical' states in quantum optics: a 'squeezed' review of the first 75 years

Fermionic coordinates and supersymmetry in quantum mechanics

https://cds.cern.ch/record/134170/files/CM-P00061801.pdf

The transition from strong coupling to weak coupling in the SU(2) lattice gauge theory

Large- N lattice gauge theory without third-order phase transition

A study of exactly solvable lattice gauge theories in two space-time dimensions

We investigate various effects of a change in action for lattice QCD. The lattice scale parameter ${\ensuremath{\Lambda}}_{L}$ depends on the action used and $\frac{{\ensuremath{\Lambda}}_{L}}{{\ensuremath{\Lambda}}_{\mathrm{MOM}}}$ is computed by the background-field method in the continuum limit for Manton's and the generalized Villain's (the heat-kernel) action. When comparing with results from Monte Carlo simulations we find evidence for sizable three-loop corrections to the lattice $\ensuremath{\beta}$ function. Creutz's renormalization-group analysis is extended to Manton's and the heat-kernel action. The method produces good results with the actions we study. The static quark-antiquark potential we obtain, which is close in form to a phenomenological charmonium potential, exhibits an independence of the lattice action used. Finally, we present a discussion of the effects of changing the form of the action, relating these to a line of critical points that the theory may possess.

/pdf/definitions-of-the-gauge-theory-coupling-in-lattice-and-527ub3ypj0.pdf

P. Salomonson

Papers

Fermionic coordinates and supersymmetry in quantum mechanics

The transition from strong coupling to weak coupling in the SU(2) lattice gauge theory

Large- N lattice gauge theory without third-order phase transition

A study of exactly solvable lattice gauge theories in two space-time dimensions

Definitions of the gauge-theory coupling in lattice and continuum quantum chromodynamics: Implications of change in the lattice action