Fetching the paper…

Reading the bibliography…

Algebraic Quantum Field Theory -- an introduction · Around

2019

Algebraic Quantum Field Theory -- an introduction

Fewster, Christopher J., Rejzner, Kasia

Original
PDF
Post on X

Understand

We give a pedagogical introduction to algebraic quantum field theory (AQFT), with the aim of explaining its key structures and features.

Topics covered include: algebraic formulations of quantum theory and the GNS representation theorem, the appearance of unitarily inequivalent representations in QFT (exemplified by the van Hove model), the main assumptions of AQFT and simple models thereof, the spectrum condition, Reeh--Schlieder theorem, split property, the universal type of local algebras, and the theory of superselection sectors.
The abstract discussion is illustrated by concrete examples.
One of our concerns is to explain various ways in which quantum field theory differs from quantum mechanics, not just in terms of technical detail, but in terms of physical content.

Built on

Christopher J. Fewster,
Original
1904
Earlier work this paper cites.
Hideki Yukawa,
1935
Earlier work this paper cites.
R. E. Peierls,
1952
Earlier work this paper cites.
Léon Van Hove,
1952
Earlier work this paper cites.
Vasiliĭ Sergeevič Vladimirov,
1966
Earlier work this paper cites.
S. Doplicher, R. Haag, and J. E. Roberts,
1969
Earlier work this paper cites.
G.G. Emch,
1972
Earlier work this paper cites.
Michael Reed and Barry Simon,
1975
Earlier work this paper cites.
R. F. Streater and A. S. Wightman,
1978
Earlier work this paper cites.
D. Buchholz and K. Fredenhagen,
1982
Earlier work this paper cites.
S. Doplicher and R. Longo,
1984
Earlier work this paper cites.
Klaus Fredenhagen,
1985
Earlier work this paper cites.
Bernard S. Kay,
1985
Earlier work this paper cites.
D. Buchholz, C. D’Antoni, and K. Fredenhagen,
1987
Earlier work this paper cites.

Similar

Ola Bratteli and Derek W. Robinson,
1987
Cited alongside, same era.
C. D’Antoni, S. Doplicher, K. Fredenhagen, and R. Longo,
1987
Cited alongside, same era.
Uffe Haagerup,
1987
Cited alongside, same era.
S. Doplicher and J. E. Roberts,
1989
Cited alongside, same era.
K. Fredenhagen, K.-H. Rehren, and B. Schroer,
1989
Cited alongside, same era.
R. Longo,
1989
Cited alongside, same era.
Bernard S. Kay and Robert M. Wald,
1991
Cited alongside, same era.
Huzihiro Araki,

Then

Hans Halvorson and Michael Müger,
2007
Later among the works it cites.
Christopher J. Fewster and Rainer Verch,
2013
Later among the works it cites.
D. Buchholz and J. E. Roberts,
2014
Later among the works it cites.
Erik G. F. Thomas,
2014
Later among the works it cites.
Romeo Brunetti, Claudio Dappiaggi, Klaus Fredenhagen, and Jakob Yngvason (eds.),
2015
Later among the works it cites.
C. J. Fewster and R. Verch,
2015
Later among the works it cites.
Gandalf Lechner,
2015
Later among the works it cites.

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

1993

Cited alongside, same era.

K. Fredenhagen,

1995

Cited alongside, same era.

Rudolf Haag,

1996

Cited alongside, same era.

Barry Simon,

1998

Cited alongside, same era.

R. Brunetti, K. Fredenhagen, and R. Verch,

2003

Cited alongside, same era.

Christopher J. Fewster,

2016

Later among the works it cites.

K. Fredenhagen and K. Rejzner,

2016

Later among the works it cites.

Kasia Rejzner,

2016

Later among the works it cites.

C. J. Fewster and R. Verch,

2018

Later among the works it cites.

S. Hollands and K. Sanders,

2018

Later among the works it cites.

M. Dütsch,

2019

Closest in time.