Notices
 

Browse & Filter

For page specific messages
For page author info
Enter a comma separated list of user names.
4 records found.
Operations
Title+Summary Name Datesort ascending

[QUE/QFT-13001]

Node id: 2297page

\(\newcommand{\ket}[1]{|#1\rangle}\newcommand{\matrixelement}[3]{\langle#1|#2|#3\rangle} \)

Use Wick's theorem to evaluate and calculate the  following  free field time ordered operator product \[\matrixelement{0}{T\big(\phi(x_1)\phi(x_1)\phi(x_1)\phi(x_2)\phi(x_3)\phi(x_4)\phi(x_5)\phi(x_6)\phi(x_7)\big}{0 }\]
Here \(\phi(x)\) represents free scalar field.

 kapoor's picture 22-04-07 19:04:25 n

[QUE/QFT-13003] QFT-PROBLEM

Node id: 4058page

% \FigBelow{10,-25}

 shivahcu's picture 22-02-01 19:02:38 n

[QUE/QFT-13002] QFT-PROBLEM

Node id: 4057page
  • Use Wick's theorem to reduce the following time ordered product to a sum of normal products. \[T\big(:\bar{\psi}(x) \gamma_5\psi(x) \phi(x):\ :\bar{\psi}(y)\gamma_5\psi(y) \phi(y):\big)\] where \(\psi(x),\phi(x)\) represent spin half(nucleon) and spin zero (pion) fields respectively.
  • Identify terms that will contribute to pion nucleon scattering.
  • Find term(s),if any, that will contribute to pion pion scattering?Are there terms which contribute to nucleon anti nucleon annihilation into two pions? Identify these terms?
  • Draw position space Feynman diagrams for the processes mentioned in parts (b) and (c).
 shivahcu's picture 22-02-01 19:02:30 n

[QUE/QFT-13001] QFT-PROBLEM

Node id: 4056page

$\newcommand{\matrixelement}[3]{\langle#1|#2|#3\rangle}$
Use Wick's theorem to evaluate the following free field time ordered operator product \[T\big(:\phi^4(x):\ :\phi^4(y):\big)\] and write it as a sum of normal ordered products and in terms of \(\Delta(x-y)=\matrixelement{0}{T(\phi(x)\phi(y))}{0}\). Which term(s), if any, will contribute to \(\pi-\pi\) scattering, if the field \(\phi(x)\) represents neutral pion field.

 shivahcu's picture 22-02-01 19:02:08 n
 
X