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theorems:haags_theorem [2018/01/02 14:17] jakobadmin ↷ Page moved from advanced_notions:quantum_field_theory:haags_theorem to theorems:haags_theorem |
theorems:haags_theorem [2019/05/08 15:48] (current) jakobadmin [Abstract] |
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====== Haag's theorem ====== | ====== Haag's theorem ====== | ||
- | <tabbox Why is it interesting?> | ||
- | <blockquote>According to something called Haagís theorem there appears to be no known | ||
- | consistent formalism within which interacting quantum field theory can be | ||
- | expressed. | ||
- | <cite>p. 115 in "An interpretative | + | <tabbox Intuitive> |
- | introduction to quantum Field theory" by Teller (1995) </cite> | + | |
- | </blockquote> | + | |
- | + | ||
- | <tabbox Layman> | + | |
<note tip> | <note tip> | ||
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</note> | </note> | ||
| | ||
- | <tabbox Student> | + | <tabbox Concrete> |
For the best explanation, see the section "How to stop worrying about Haag's theorem" in the book "The Conceptual Framework of Quantum Field Theory" by A. Duncan | For the best explanation, see the section "How to stop worrying about Haag's theorem" in the book "The Conceptual Framework of Quantum Field Theory" by A. Duncan | ||
- | <tabbox Researcher> | + | <tabbox Abstract> |
- | <note tip> | + | <blockquote>In particular Haag's theorem, that one |
- | The motto in this section is: //the higher the level of abstraction, the better//. | + | cannot consistently define the vacuum in interacting theories, is now considered to have been the wrong way to look |
- | </note> | + | at the problem, and largely disappears with considerations of RG flow.<cite>[[http://www.felixflicker.com/pdf/QFT_notes_F_Flicker.pdf|A Practical Introduction to Quantum Field Theory]] by Felix Flicker</cite></blockquote> |
+ | <tabbox Why is it interesting?> | ||
- | --> Common Question 1# | + | <blockquote>According to something called Haagís theorem there appears to be no known |
+ | consistent formalism within which interacting quantum field theory can be | ||
+ | expressed. | ||
- | + | <cite>p. 115 in "An interpretative | |
- | <-- | + | introduction to quantum Field theory" by Teller (1995) </cite> |
+ | </blockquote> | ||
- | --> Common Question 2# | + | <tabbox FAQ> |
- | + | -->Why is there no problem in practical QFT calculations?# | |
+ | see https://physics.stackexchange.com/questions/3983/haags-theorem-and-practical-qft-computations | ||
<-- | <-- | ||
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- | <tabbox Examples> | ||
- | |||
- | --> Example1# | ||
- | |||
- | |||
- | <-- | ||
- | |||
- | --> Example2:# | ||
- | |||
- | |||
- | <-- | ||
- | | ||
- | <tabbox History> | ||
</tabbox> | </tabbox> | ||