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Difference between revisions of "Talk:Quantum field theory"

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(Missing definition of a term.)
 
(→‎Definition of $ {\rho_{\kappa}}(\Box) $: The function applied to the d'Alembertian?)
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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