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We present master formulas for the divergent part of the one-loop effective action for a minimal operator of any order in the 4-dimensional curved space and for an arbitrary nonminimal operator in the flat space.

High Energy Physics - Theory · Physics 2016-10-26 P. Pronin , K. Stepanyantz

Recent progress towards an understanding of the piNN system within chiral perturbation theory is reported. The focus lies on an effective field theory calculation and its comparison to phenomenological calculations for the reaction NN->d…

Nuclear Theory · Physics 2007-05-23 C. Hanhart

A short introduction of a relation between a Green's function and a quantum wave impedance function as well as its application to a determination of eigenenergies and eigenfunctions of a quatum-mechanical system is provided. Three different…

Quantum Physics · Physics 2020-10-13 O. I. Hryhorchak

In this set of four lectures, we provide an elementary introduction to light cone field theory and some of its applications in high energy scattering.

Nuclear Theory · Physics 2009-10-31 Raju Venugopalan

These lectures discuss field theoretic techniques that might allow for realistic simulations of lattice QCD on small computers.

High Energy Physics - Lattice · Physics 2016-10-26 G. P. Lepage

The aim of this work is to give an introduction to the theoretical background and computational complexity of Markov chain Monte Carlo methods. Most of the mathematical results related to the convergence are not found in most of the…

Computation · Statistics 2020-04-16 Izhar Asael Alonzo Matamoros

The Gel'fand-Yaglom theorem has been used to calculate the one-loop effective action in quantum field theory by means of the "partial-wave-cutoff method". This method works well for a wide class of background fields and is essentially…

High Energy Physics - Theory · Physics 2022-06-29 Adolfo Huet , Idrish Huet , Octavio Cornejo

Several widely used methods for the calculation of band structures and photo emission spectra, such as the GW approximation, rely on Many-Body Perturbation Theory. They can be obtained by iterating a set of functional differential equations…

Strongly Correlated Electrons · Physics 2012-01-31 Giovanna Lani , Pina Romaniello , Lucia Reining

The background method is a widely used technique to bound mean properties of turbulent flows rigorously. This work reviews recent advances in the theoretical formulation and numerical implementation of the method. First, we describe how the…

Fluid Dynamics · Physics 2022-05-18 Giovanni Fantuzzi , Ali Arslan , Andrew Wynn

This lecture provides an introduction to quantum chromodynamics (QCD) on the lattice. The continuum limit and Monte Carlo simulations are briefly discussed. Different facets of QCD are nicely exhibited by the potential of a static quark and…

High Energy Physics - Lattice · Physics 2017-06-02 Francesco Knechtli

An introduction to the physical interpretation of the Coulomb logarithm is given with particular emphasis on the quantum-mechanical corrections that are required at high temperatures. Excerpts from the literature are used to emphasize the…

Plasma Physics · Physics 2019-01-23 J. A. Krommes

This is an intorduction to some of the basic methods and results of dense matter physics.It is aimed at readers interested in astrophysical and physical applications.

Astrophysics · Physics 2007-05-23 V. Celebonovic

In these lecture notes some applications of Monte Carlo integration methods in Quantum Field Theory - in particular in Quantum Chromodynamics - are introduced and discussed.

High Energy Physics - Lattice · Physics 2007-05-31 I. Montvay

We present a calculation of the spectral properties of a single charge doped at a Cu($3d$) site of the Cu-F plane in KCuF$_{3}$. The problem is treated by generating the equations of motion for the Green's function by means of subsequent…

Strongly Correlated Electrons · Physics 2016-12-26 Krzysztof Bieniasz , Mona Berciu , Andrzej M. Oleś

A precise understanding of LHC phenomenology requires the inclusion of one-loop corrections for multi-particle final states. In this talk we describe a semi-numerical method to compute one-loop amplitudes with many external particles and…

High Energy Physics - Phenomenology · Physics 2009-11-11 T. Binoth , M. Ciccolini , G. Heinrich

A condensed survey of various aspects of LEP 1 physics is presented with a critical examination of the ingredients that are available for theoretical predictions. A prototype of comparisons for 2f calculations can be found in…

High Energy Physics - Phenomenology · Physics 2007-05-23 G. Passarino

Even the uninitiated will know that Quantum Field Theory cannot be introduced systematically in just four lectures. I try to give a reasonably connected outline of part of it, from second quantization to the path-integral technique in…

High Energy Physics - Theory · Physics 2007-05-23 R. J. Crewther

An introduction to the method of QCD sum rules is given for those who want to learn how to use this method. Furthermore, we discuss various applications of sum rules, from the determination of quark masses to the calculation of hadronic…

High Energy Physics - Phenomenology · Physics 2016-11-23 Pietro Colangelo , Alexander Khodjamirian

In this talk we describe our approach for the computation of multi-leg one-loop amplitudes and present some first results relevant for LHC phenomenology.

High Energy Physics - Phenomenology · Physics 2009-11-11 T. Binoth , A. Guffanti , J. -Ph. Guillet , S. Karg , N. Kauer , T. Reiter

The new and rapidly growing field of circuit QED offers extremely exciting prospects for learning about and exercising intimate control over quantum systems, providing flexible, engineerable design and strong nonlinearities and interactions…

Quantum Physics · Physics 2013-10-08 Nathan K. Langford