Difference between revisions of "Talk:Quantum field theory"
From Encyclopedia of Mathematics
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Could someone please explain the meaning of $ {\rho_{\kappa}}(\Box) $, which occurs two displayed equations below Equation (6)? I checked the published version of Encyclopedia of Mathematics to see if the expression appears there as well, and indeed it does. However, no definition is given. | Could someone please explain the meaning of $ {\rho_{\kappa}}(\Box) $, which occurs two displayed equations below Equation (6)? I checked the published version of Encyclopedia of Mathematics to see if the expression appears there as well, and indeed it does. However, no definition is given. | ||
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| + | :Probably, the function $\rho_{\kappa}$ applied to the d'Alembertian $\Box$. In the formula for the smoothing function $D_{\kappa,\epsilon}$ we see $\rho_{\kappa}(\langle p,p \rangle)$; and this Fourier transform diagonalizes $\Box$, turning it into multiplication by $p\mapsto\langle p,p \rangle$, right? [[User:Boris Tsirelson|Boris Tsirelson]] ([[User talk:Boris Tsirelson|talk]]) 16:15, 5 December 2016 (CET) | ||
Revision as of 15:15, 5 December 2016
Definition of $ {\rho_{\kappa}}(\Box) $
Could someone please explain the meaning of $ {\rho_{\kappa}}(\Box) $, which occurs two displayed equations below Equation (6)? I checked the published version of Encyclopedia of Mathematics to see if the expression appears there as well, and indeed it does. However, no definition is given.
- Probably, the function $\rho_{\kappa}$ applied to the d'Alembertian $\Box$. In the formula for the smoothing function $D_{\kappa,\epsilon}$ we see $\rho_{\kappa}(\langle p,p \rangle)$; and this Fourier transform diagonalizes $\Box$, turning it into multiplication by $p\mapsto\langle p,p \rangle$, right? Boris Tsirelson (talk) 16:15, 5 December 2016 (CET)
How to Cite This Entry:
Quantum field theory. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Quantum_field_theory&oldid=39916
Quantum field theory. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Quantum_field_theory&oldid=39916