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This book focuses on a critical discussion of the status and
prospects of current approaches in quantum mechanics and quantum
field theory, in particular concerning gravity. It contains a
carefully selected cross-section of lectures and discussions at the
seventh conference "Progress and Visions in Quantum Theory in View
of Gravity" which took place in fall 2018 at the Max Planck
Institute for Mathematics in the Sciences in Leipzig. In contrast
to usual proceeding volumes, instead of reporting on the most
recent technical results, contributors were asked to discuss
visions and new ideas in foundational physics, in particular
concerning foundations of quantum field theory. A special focus has
been put on the question of which physical principles of quantum
(field) theory can be considered fundamental in view of gravity.
The book is mainly addressed to mathematicians and physicists who
are interested in fundamental questions of mathematical physics. It
allows the reader to obtain a broad and up-to-date overview of a
fascinating active research area.
This book focuses on a critical discussion of the status and
prospects of current approaches in quantum mechanics and quantum
field theory, in particular concerning gravity. It contains a
carefully selected cross-section of lectures and discussions at the
seventh conference "Progress and Visions in Quantum Theory in View
of Gravity" which took place in fall 2018 at the Max Planck
Institute for Mathematics in the Sciences in Leipzig. In contrast
to usual proceeding volumes, instead of reporting on the most
recent technical results, contributors were asked to discuss
visions and new ideas in foundational physics, in particular
concerning foundations of quantum field theory. A special focus has
been put on the question of which physical principles of quantum
(field) theory can be considered fundamental in view of gravity.
The book is mainly addressed to mathematicians and physicists who
are interested in fundamental questions of mathematical physics. It
allows the reader to obtain a broad and up-to-date overview of a
fascinating active research area.
Quantum physics has been highly successful for more than 90 years.
Nevertheless, a rigorous construction of interacting quantum field
theory is still missing. Moreover, it is still unclear how to
combine quantum physics and general relativity in a unified
physical theory. Attacking these challenging problems of
contemporary physics requires highly advanced mathematical methods
as well as radically new physical concepts. This book presents
different physical ideas and mathematical approaches in this
direction. It contains a carefully selected cross-section of
lectures which took place in autumn 2014 at the sixth conference
``Quantum Mathematical Physics - A Bridge between Mathematics and
Physics'' in Regensburg, Germany. In the tradition of the other
proceedings covering this series of conferences, a special feature
of this book is the exposition of a wide variety of approaches,
with the intention to facilitate a comparison. The book is mainly
addressed to mathematicians and physicists who are interested in
fundamental questions of mathematical physics. It allows the reader
to obtain a broad and up-to-date overview of a fascinating active
research area.
Quantum physics has been highly successful for more than 90 years.
Nevertheless, a rigorous construction of interacting quantum field
theory is still missing. Moreover, it is still unclear how to
combine quantum physics and general relativity in a unified
physical theory. Attacking these challenging problems of
contemporary physics requires highly advanced mathematical methods
as well as radically new physical concepts. This book presents
different physical ideas and mathematical approaches in this
direction. It contains a carefully selected cross-section of
lectures which took place in autumn 2014 at the sixth conference
``Quantum Mathematical Physics - A Bridge between Mathematics and
Physics'' in Regensburg, Germany. In the tradition of the other
proceedings covering this series of conferences, a special feature
of this book is the exposition of a wide variety of approaches,
with the intention to facilitate a comparison. The book is mainly
addressed to mathematicians and physicists who are interested in
fundamental questions of mathematical physics. It allows the reader
to obtain a broad and up-to-date overview of a fascinating active
research area.
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