Why is it hard to give a lattice definition of string theory?
Answers
Answered by
0
Hey mate here is your answer
In Polyakov's book, he explains that one possible way to compute the propagator for a point particle is to compute the lattice sum ∑Px,x′exp(−m0L[Px,x′])∑Px,x′exp(−m0L[Px,x′]), where the sum goes over all paths between xx and x′x′. One then needs to compute this sum and choose the bare mass so that there's a good continuum limit.
Polyakov then goes on to say that this doesn't work for string theory. I skimmed the literature and couldn't find any explanation of this fact. Naively I would think that in order to find the propagator, you could just compute the sum ∑WC,C′exp(−T0A[WC,C′])∑WC,C′exp(−T0A[WC,C′]), where the sum is over worldsheets that end on the curves CC and C′C′. What goes wrong? Is this just a hard sum to do?
Hope this answer will help you!!!
In Polyakov's book, he explains that one possible way to compute the propagator for a point particle is to compute the lattice sum ∑Px,x′exp(−m0L[Px,x′])∑Px,x′exp(−m0L[Px,x′]), where the sum goes over all paths between xx and x′x′. One then needs to compute this sum and choose the bare mass so that there's a good continuum limit.
Polyakov then goes on to say that this doesn't work for string theory. I skimmed the literature and couldn't find any explanation of this fact. Naively I would think that in order to find the propagator, you could just compute the sum ∑WC,C′exp(−T0A[WC,C′])∑WC,C′exp(−T0A[WC,C′]), where the sum is over worldsheets that end on the curves CC and C′C′. What goes wrong? Is this just a hard sum to do?
Hope this answer will help you!!!
1Aarohi1:
Hii
Please mark my answer as brainliest
And you can follow me also so that I can answer your questions
Answered by
0
HEY MATE,,,
HERE IS YOUR ANSWER,,,
It is because in Polyakov's book, he explains that one possible way to compute the propagator for a point particle is to compute the lattice sum over all paths between x and x'. One then needs to compute this sum and choose the bare mass so that there's a good continuum limit.
HOPE THIS HELPS YOU.
REGARDS
MONICA.
HERE IS YOUR ANSWER,,,
It is because in Polyakov's book, he explains that one possible way to compute the propagator for a point particle is to compute the lattice sum over all paths between x and x'. One then needs to compute this sum and choose the bare mass so that there's a good continuum limit.
HOPE THIS HELPS YOU.
REGARDS
MONICA.
Similar questions