Connectivity: A Primer in Phase Transitions and Critical Phenomena for Students of Particle Physics

1983 ◽  
pp. 1-42 ◽  
Author(s):  
H. Eugene Stanley
Keyword(s):  
Phase Transitions ◽  
Critical Phenomena ◽  
Particle Physics

Quantum Field Theory and Critical Phenomena

2021 ◽  
Author(s):  
Jean Zinn-Justin
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Phase Transitions ◽  
Critical Phenomena ◽  
Particle Physics ◽  
High Energy ◽  
Fine Tuning ◽  
High Energy Particle ◽  
Condensation Temperature ◽  
Quantum Field

Introduced as a quantum extension of Maxwell's classical theory, quantum electrodynamic (QED) has been the first example of a quantum field theory (QFT). Eventually, QFT has become the framework for the discussion of all fundamental interactions at the microscopic scale except, possibly, gravity. More surprisingly, it has also provided a framework for the understanding of second order phase transitions in statistical mechanics. In fact, as hopefully this work illustrates, QFT is the natural framework for the discussion of most systems involving an infinite number of degrees of freedom with local couplings. These systems range from cold Bose gases at the condensation temperature (about ten nanokelvin) to conventional phase transitions (from a few degrees to several hundred) and high energy particle physics up to a TeV, altogether more than twenty orders of magnitude in the energy scale. Therefore, although excellent textbooks about QFT had already been published, I thought, many years ago, that it might not be completely worthless to present a work in which the strong formal relations between particle physics and the theory of critical phenomena are systematically emphasized. This option explains some of the choices made in the presentation. A formulation in terms of field integrals has been adopted to study the properties of QFT. The language of partition and correlation functions has been used throughout, even in applications of QFT to particle physics. Renormalization and renormalization group (RG) properties are systematically discussed. The notion of effective field theory (EFT) and the emergence of renormalizable theories are described. The consequences for fine-tuning and triviality issue are emphasized. This fifth edition has been updated and fully revised.

Phase transitions and critical phenomena in condensed media

1999 ◽  
Vol 169 (6) ◽  
pp. 695
Author(s):  
Ibragimkhan K. Kamilov ◽  
Akai K. Murtazaev
Keyword(s):  
Phase Transitions ◽  
Critical Phenomena ◽  
Condensed Media

PHASE TRANSITIONS AND CRITICAL PHENOMENA IN THE CRYSTAL OF А2IVВ2VС6VI GROUP UNDER HIGH PRESSURES

2000 ◽  
Vol 6 (0) ◽  
pp. 76-93
Author(s):  
О. І. Герзанич ◽  
О. Г. Сливка ◽  
П. П. Гуранич ◽  
В. С. Шуста ◽  
В. М. Кедюлич ◽  
...  
Keyword(s):  
Phase Transitions ◽  
Critical Phenomena ◽  
High Pressures

Recent developments in phase transitions and critical phenomena

Nature ◽  
1977 ◽  
Vol 269 (5627) ◽  
pp. 379-383 ◽  
Author(s):  
David R. Nelson
Keyword(s):  
Phase Transitions ◽  
Critical Phenomena ◽  
Recent Developments

scholarly journals New applications of the renormalization group method in physics: a brief introduction

2011 ◽  
Vol 369 (1946) ◽  
pp. 2602-2611 ◽  
Author(s):  
Y. Meurice ◽  
R. Perry ◽  
S.-W. Tsai
Keyword(s):  
Renormalization Group ◽  
Phase Transitions ◽  
Dynamical Systems ◽  
Particle Physics ◽  
Recent Progress ◽  
Condensed Matter ◽  
Group Method ◽  
Renormalization Group Method ◽  
Theme Issue ◽  
New Applications

The renormalization group (RG) method developed by Ken Wilson more than four decades ago has revolutionized the way we think about problems involving a broad range of energy scales such as phase transitions, turbulence, continuum limits and bifurcations in dynamical systems. The Theme Issue provides articles reviewing recent progress made using the RG method in atomic, condensed matter, nuclear and particle physics. In the following, we introduce these articles in a way that emphasizes common themes and the universal aspects of the method.

Hysteresis and avalanches: phase transitions and critical phenomena in driven disordered systems

2001 ◽  
Vol 226-230 ◽  
pp. 1287-1292 ◽  
Author(s):  
Karin A. Dahmen ◽  
James P. Sethna ◽  
Matthew C. Kuntz ◽  
Olga Perković
Keyword(s):  
Phase Transitions ◽  
Critical Phenomena ◽  
Disordered Systems
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