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1 vote
0 answers
80 views

Was time statistical?

In QFT the change to the Euclidean picture the $$\exp[iS]$$ looked like the partition function in statistical mechanics, and thereby the approaches in the statistical mechanics might be uaeful to that ...
ShoutOutAndCalculate's user avatar
3 votes
1 answer
293 views

How do we perform 'time' translation in Euclidean QFT?

If we have an operator in a $1+1$ dimension QFT then we get the Hamiltonian, which comes from and generates translations in the $t$ direction and a momentum operator which comes from and generates ...
Toby Peterken's user avatar
13 votes
3 answers
2k views

Why is Euclidean Time Periodic?

I've been reading a bit about finite temperature quantum field theory, and I keep coming across the claim that when one Euclideanizes time $$it\to\tau,$$ the time dimension becomes periodic, with ...
arow257's user avatar
  • 1,055
0 votes
0 answers
68 views

Explain Imaginary Time and Temperature [duplicate]

I was amazed to learn that we can use Imaginary unit iota into physical quantities like time and Temperature but how exactly? The explanation was not something I would say stellar so I am hoping can ...
Akhilesh's user avatar
4 votes
0 answers
408 views

Equivalence of $d$ dimensional quantum system to $d+1$ dimension stats system

" There are close analogies between quantum field theories in d dimensions and classical statistical mechanics in d + 1." What does this statement imply and from where does this extra dimension ...
Draco_1125's user avatar