Application of quantum field theory to condensed matter physics

chris_183
i've read that quantum field theory can be applied to condensed matter physics but i don't understand how: quantum field theory is the union of SR with QM but how is SR related to condensed matter physics? i understand that quantum field theory would be useful because it can describe many-particle systems but I've read about it being applied to the thermodynamics of solids at temperatures near absolute zero - how could SR possibly be related to this?

Crazy Tosser
Through my shallow understanding, they are linked through Entropy-Information Theory.
I might be wrong though.

Most of modern condensed matter physics is field theory, and of course the former has greatly advanced understanding of the latter (for instance the Higgs mechanism was independantly found by condensed matter theorists). They simply take the nonrelativistic limit in most cases.

Its useful b/c ultimately its a formalism to deal with the many body problem.

Staff Emeritus
i've read that quantum field theory can be applied to condensed matter physics but i don't understand how: quantum field theory is the union of SR with QM but how is SR related to condensed matter physics? i understand that quantum field theory would be useful because it can describe many-particle systems but I've read about it being applied to the thermodynamics of solids at temperatures near absolute zero - how could SR possibly be related to this?

As Haelfix has stated, it is most widely used in the treatment of many-body physics. The best introduction to it is Mattuck's book "A Guide to Feynman Diagrams in the Many-Body Problem".

All QFT need not be relativistic, or at least, not dealing with relativistic effects, in condensed matter physics.

Zz.

aegeansea
what does the SR mean?

genneth
what does the SR mean?

Special relativity.

genneth
i've read that quantum field theory can be applied to condensed matter physics but i don't understand how: quantum field theory is the union of SR with QM but how is SR related to condensed matter physics? i understand that quantum field theory would be useful because it can describe many-particle systems but I've read about it being applied to the thermodynamics of solids at temperatures near absolute zero - how could SR possibly be related to this?