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[SOLVED] Wick rotating a lattice? |
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| Sep1-04, 03:43 AM | #1 |
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[SOLVED] Wick rotating a lattice?
<jabberwocky><div class="vbmenu_control"><a href="jabberwocky:;" onClick="newWindow=window.open('','usenetCode','toolbar=no,location=no, scrollbars=yes,resizable=yes,status=no,width=650,height=400'); newWindow.document.write('<HTML><HEAD><TITLE>Usenet ASCII</TITLE></HEAD><BODY topmargin=0 leftmargin=0 BGCOLOR=#F1F1F1><table border=0 width=625><td bgcolor=midnightblue><font color=#F1F1F1>This Usenet message\'s original ASCII form: </font></td></tr><tr><td width=449><br><br><font face=courier><UL><PRE>\n\nHow do you Wick rotate a lattice? The continuum version with\nPoincare/Euclidean covariance is merely a matter of analytic\ncontinuation of the Poincare/Euclidean group but how about a lattice?\nIf it\'s not possible to Wick rotate a lattice, then why do people study\nEUCLIDEAN lattice models in quantum field theory?\n</UL></PRE></font></td></tr></table></BODY><HTML>');"> <IMG SRC=/images/buttons/ip.gif BORDER=0 ALIGN=CENTER ALT="View this Usenet post in original ASCII form"> View this Usenet post in original ASCII form </a></div><P></jabberwocky>How do you Wick rotate a lattice? The continuum version with
Poincare/Euclidean covariance is merely a matter of analytic continuation of the Poincare/Euclidean group but how about a lattice? If it's not possible to Wick rotate a lattice, then why do people study EUCLIDEAN lattice models in quantum field theory? |
| Sep1-04, 04:55 AM | #2 |
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<jabberwocky><div class="vbmenu_control"><a href="jabberwocky:;" onClick="newWindow=window.open('','usenetCode','toolbar=no,location=no, scrollbars=yes,resizable=yes,status=no,width=650,height=400'); newWindow.document.write('<HTML><HEAD><TITLE>Usenet ASCII</TITLE></HEAD><BODY topmargin=0 leftmargin=0 BGCOLOR=#F1F1F1><table border=0 width=625><td bgcolor=midnightblue><font color=#F1F1F1>This Usenet message\'s original ASCII form: </font></td></tr><tr><td width=449><br><br><font face=courier><UL><PRE>\n\nvery_cryptic@hotmail.com wrote:\n> How do you Wick rotate a lattice? The continuum version with\n> Poincare/Euclidean covariance is merely a matter of analytic\n> continuation of the Poincare/Euclidean group but how about a lattice?\n> If it\'s not possible to Wick rotate a lattice, then why do people study\n> EUCLIDEAN lattice models in quantum field theory?\n\nOne Wick rotates the continuum Lorentzian QFT theory to get a Euclidean\ntheory which can be put on the lattice. One calculates correlations on\nthe lattice, and infers approximate correlations for the Euclidean theory.\nThen one Wick-rotates these back to get the desired results in the original\nQFT.\n\n\nArnold Neumaier\n\n</UL></PRE></font></td></tr></table></BODY><HTML>');"> <IMG SRC=/images/buttons/ip.gif BORDER=0 ALIGN=CENTER ALT="View this Usenet post in original ASCII form"> View this Usenet post in original ASCII form </a></div><P></jabberwocky>very_cryptic@hotmail.com wrote:
> How do you Wick rotate a lattice? The continuum version with > Poincare/Euclidean covariance is merely a matter of analytic > continuation of the Poincare/Euclidean group but how about a lattice? > If it's not possible to Wick rotate a lattice, then why do people study > EUCLIDEAN lattice models in quantum field theory? One Wick rotates the continuum Lorentzian QFT theory to get a Euclidean theory which can be put on the lattice. One calculates correlations on the lattice, and infers approximate correlations for the Euclidean theory. Then one Wick-rotates these back to get the desired results in the original QFT. Arnold Neumaier |
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