Four-loop Wave Function Renormalization in QCD and QED PDF Download
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Author: P. Marquard
Publisher:
ISBN:
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Languages : en
Pages :
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Author: P. Marquard
Publisher:
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Languages : en
Pages :
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Book Description
Author: A. G. Grozin
Publisher: World Scientific
ISBN: 9812569146
Category : Science
Languages : en
Pages : 239
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Book Description
The increasing precision of experimental data in many areas of elementary particle physics requires an equally precise theoretical description. In particular, radiative corrections (described by one- and multi-loop Feynman diagrams) have to be considered. Although a growing number of physicists are involved in such projects, multi-loop calculation methods can only be studied from original publications. With its coverage of multi-loop calculations, this book serves as an excellent supplement to the standard textbooks on quantum field theory. Based around postgraduate-level lectures given by the author, the material is suitable for both beginners and graduate students.
Author:
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Category :
Languages : en
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Book Description
The authors describe a calculation of the on-shell renormalization factors in QCD and QED at the three loop level. Explicit results for the fermion mass renormalization factor Zm and the on-shell fermion wave function renormalization constant Z2 are given. They find that at theta(alpha33) the wave function renormalization constant Z2 in QCD becomes gauge dependent also in the on-shell scheme, thereby disproving the gauge-independence conjecture based on an earlier two-loop result. As a byproduct, they derive a theta(alpha{sub s}{sup s}) contribution to the anomalous dimension of the heavy quark field in HQET.
Author: Valery A Rubakov
Publisher: World Scientific
ISBN: 9814552992
Category :
Languages : en
Pages : 482
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Book Description
The strongest part of this volume is the treatment of nonperturbative field theory with implications for baryon number violation at high energies and cosmology. Also, the volume contains some fresh results concerning anyons, lattice field theory, perturbative field theory and astrophysics.
Author: Andrey Grozin
Publisher: World Scientific
ISBN: 981447732X
Category : Science
Languages : en
Pages : 239
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Book Description
The increasing precision of experimental data in many areas of elementary particle physics requires an equally precise theoretical description. In particular, radiative corrections (described by one- and multi-loop Feynman diagrams) have to be considered. Although a growing number of physicists are involved in such projects, multi-loop calculation methods can only be studied from original publications. With its coverage of multi-loop calculations, this book serves as an excellent supplement to the standard textbooks on quantum field theory. Based around postgraduate-level lectures given by the author, the material is suitable for both beginners and graduate students.
Author: Laurie M. Brown
Publisher: Springer Science & Business Media
ISBN: 1461227208
Category : Science
Languages : en
Pages : 187
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Book Description
The purpose of this section is to give you a sketch of how quantum field theory works, where Feynman graphs come from and why they are so useful, where the infinities come from, and how we have learned to deal with them without compromising the physical principles involved. I am purposely treating the problem at the level of the 1940s and 1950s, so as to keep the basic ideas clear and avoid the more difficult problems and more sophisticated methods of recent years. I shall relate my discussion simply to quantum electrodynamics (QED) since that is the most familiar case and the case that was in the forefront from the beginning (though in fact I shall ignore many of the special complications that have to be dealt with when you quantize a gauge field). The methods I shall be describing are applicable to all sorts of quantized fields: the detailed factors are different but the structure of the logical development isjust the same. Not surprisingly, though, the renormalization procedure breaks down if the theory in question is nonrenormalizable. Whether nonrenormalizable theories are theories at all is a matter for debate; in any case, they hold no practical interest for physicists since they are essentially unusable. Quantum electrodynamics was devised in 1927 by Dirac, less than a year after the Schrodinger equation appeared and before the Dirac equa tion for the relativistic electron had been invented.
Author: Misha Shifman
Publisher: World Scientific
ISBN: 9814488364
Category : Science
Languages : en
Pages : 420
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Book Description
This is the fourth and last volume of the invaluable publication At the Frontier of Particle Physics: Handbook of QCD. In this volume the reader will find three important sections. The first is devoted to QCD-based phenomenology. It covers issues deeply woven into the fabric of particle physics: weak interactions of light quarks (J Bijnens) and heavy quarkonium physics (A Hoang). The second section is a report on recent advances in the understanding of confinement in three dimensions in the Georgi-Glashow model (I Kogan and A Kovner). The third section deals with lattice QCD (A Kronfeld) and loop equations (A Dubin and Yu Makeenko).The five reviews in Volume 4, together with the 33 reviews in Volumes 1-3, constitute a full encyclopedia, covering all aspects of quantum chromodynamics as we know it today. The articles have been written by recognized experts in this field. Combining features of a handbook and a textbook, this is the most comprehensive source of information on the current status of QCD. It is intended for students as well as physicists — both theorists and experimentalists.
Author: Yuri Dokshitzer
Publisher: Atlantica Séguier Frontières
ISBN: 9782863321010
Category : Perturbation (Quantum dynamics).
Languages : en
Pages : 286
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Book Description
Author: Misha Shifman
Publisher: World Scientific
ISBN: 9813234202
Category : Science
Languages : en
Pages : 320
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Book Description
This textbook grew out of lecture notes the author used in delivering a quantum field theory (QFT) course for students (both in high energy physics and condensed matter) who already had an initial exposure to the subject.It begins with the path integral method of quantization presented in a systematic and clear-cut manner. Perturbation theory is generalized beyond tree level, to include radiative corrections (loops). Renormalization procedures and the Wilsonian renormalization group (RG flow) are discussed, asymptotic freedom of non-Abelian gauge theories is derived, and some applications in Quantum Chromodynamics (QCD) are considered, with a brief digression into the Standard Model (SM). The SM case requires a study of the spontaneous breaking of gauge symmetry, a phenomenon which would be more appropriate to call 'Higgsing of the gauge bosons.' Other regimes attainable in gauge theories are explained as well. In the condensed matter part, the Heisenberg and Ising model are discussed. The present textbook differs from many others in that it is relatively concise and, at the same time, teaches students to carry out actual calculations which they may encounter in QFT-related applications.
Author: Alexander Krasnitz
Publisher: World Scientific
ISBN: 9814543578
Category :
Languages : en
Pages : 238
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Book Description
The subject of the exact renormalization group started from pioneering work by Wegner and Houghton in the early seventies and, a decade later, by Polchinski, who formulated the Wilson renormalization group for field theory. In the past decade considerable progress has been made in this field, which includes the development of alternative formulations of the approach and of powerful techniques for solving the exact renormalization group equations, as well as widening of the scope of the exact renormalization group method to include fermions and gauge fields. In particular, two very recent results, namely the manifestly gauge-invariant formulation of the exact renormalization group equation and the proof of the c-theorem in four dimensions, are presented in this volume.
