Contemporary Topics in Quantum Many-Body Physics

Alexander Altland, Benjamin D. Simons

The methods of quantum field theory underpin many conceptual advances in contemporary condensed matter physics and neighbouring fields. This book provides a praxis-oriented and pedagogical introduction to quantum field theory in many-particle physics, emphasizing the application of theory to real physical systems. This third edition is organized into two parts: the first half of the text presents a streamlined introduction, elevating readers to a level where they can engage with contemporary research literature, from the introduction of many-body techniques and functional integration to renormalization group methods, and the second half addresses a range of advanced topics including modern aspects of gauge theory, topological and relativistic quantum matter, and condensed matter physics out of thermal equilibrium. At all stages, the text seeks a balance between methodological aspects of quantum field theory and practical applications. Extended problems with worked solutions provide a bridge between formal theory and a research-oriented approach.

Giampaolo Co'

Stuart Alan Kauffman

I wish to discuss a large, interwoven set of topics pointed at in the title above. Much of what I say is highly speculative, some is testable, some is, at present, surely not. It is, I hope, useful, to set these ideas forth for our consideration. What I shall say assumes quantum measurement is real, and that Bohm's interpretation of Quantum Mechanics is not true. The Stalemate: In our contemporary neurobiology and much of the philosophy of mind post Descartes we are classical physics machines and either mindless, or mind is at best epiphenomenal and can have no consequences for the physical world. The first main point of this paper is that we are not forced to this conclusion, but must give up total reliance on classical physics.

Laurens Vanderstraeten

Paavo Pylkkänen

This paper explores the theme “quantum approaches to consciousness” by considering the work of one of the pioneers in the field. The physicist David Bohm (1917-1992) not only made important contributions to quantum physics, but also had a long-term interest in interpreting the results of quantum physics and relativity in order to develop a general world view. His idea was further that living and mental processes could be understood in a new, scientifically and philosophically more coherent way in the context of such a new world view. This paper gives a brief overview of different – and sometimes contradictory - aspects of Bohm’s research programme, and evaluates how they can be used to give an account of topics of interest in contemporary consciousness studies, such as analogies between thought and quantum processes, the problem of mental causation, the mind-body problem and the problem of time consciousness.