All Questions
8
questions
2
votes
1
answer
472
views
Temperature of quantum fields and periodicity
I have read this PSE post Finite Temperature Quantum Field Theory, saying that
In a QFT at finite temperature, we consider the Euclidean time to be periodic, i.e. we consider a theory on the manifold ...
- 3,992
5
votes
2
answers
533
views
What does the Temperature of a QFT physically mean?
In elementary statistical mechanics, one can think of temperature as arising from the average kinetic energy of particles in the ensemble. Is there a similar way to think about the temperature of a ...
- 1,055
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 ...
- 1,055
4
votes
1
answer
1k
views
What is QFT at finite temperature?
On the one hand, according to the Wick rotation that relates Statistical Field Theory and Quantum Field Theory, a finite temperature statistical system corresponds to a compact time quantum field ...
- 1,154
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 ...
- 11
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 ...
- 667
8
votes
1
answer
1k
views
Matsubara Field Theory - what does imaginary time $\tau$ in $G(\tau,\mathbf{x})$ mean?
Consider the free, real scalar field $\phi$ in Matsubara Finite-Temperature quantum field theory, where our system is kept in equilibrium with a heat bath at temperature $\frac{1}{\beta}$.
Then the ...
- 3,719
19
votes
1
answer
4k
views
Quantum field theory: zero vs. finite temperature
I have recently been made aware of the concept of thermal field theory, in which the introductory statement for its motivation is that "ordinary" quantum field theory (QFT) is formulated at zero ...
- 3,063