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2 votes
1 answer
123 views

Is conservation of energy a local law in Quantum field theory? [closed]

From Wikipedia, "The local energy conservation in quantum field theory is ensured by the quantum Noether's theorem for the energy-momentum tensor operator. Thus energy is conserved by the normal ...
KleinMoretti's user avatar
3 votes
1 answer
754 views

Proof that conservation of momentum is Lorentz invariant

In classical mechanics, if $$\frac{\mathrm d}{\mathrm d t}\sum_i m_i\vec{v_i}=0$$is true for one frame of reference, then it is easy to prove that this is true for all frames (since different frames ...
Filippo's user avatar
  • 1,801
2 votes
2 answers
193 views

Global conservation + Lorentz invariance = local conservation?

On the page 83 of "Quantum Field Theory Lectures of Sidney Coleman", Coleman showed an interesting example: It seems that global conservation law and local conservation law can be related. ...
TOAA's user avatar
  • 192
4 votes
2 answers
226 views

The conditions under which a stress tensor $T^{\mu\nu}$ exists

I used to believe that the existence of the stress tensor in a QFT has to do with translation invariance: "If a theory is translation invariant, then one can construct a conserved $T^{\mu\nu}$ by ...
devCharaf's user avatar
  • 699
4 votes
1 answer
563 views

What is a "quasi-local" charge?

Could someone please tell me what is a quasi-local charge? For instance, why are Brown-York charges called quasi-local?
Y2H's user avatar
  • 700
3 votes
1 answer
365 views

What is the mathematical meaning of locality?

I have read on the Principle of locality Wikipedia page that: "The special theory of relativity limits the speed at which all such influences can travel to the speed of light, c. Therefore, the ...
user7077252's user avatar
1 vote
1 answer
1k views

Newton's third law at the quantum level? [closed]

let's look at force at the atomic level to understand the newtons third law of motion. I'll use Helium atoms as an example. Now imagine we start with one atom HE2 stationary, and throw another atom ...
Faiz Iqbal's user avatar