Research output: Contribution to journal › Article › peer-review
Strings and pions. / Andrianov, A. A.; Espriu, D.
In: Theoretical and Mathematical Physics, Vol. 135, No. 3, 01.06.2003, p. 745-756.Research output: Contribution to journal › Article › peer-review
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TY - JOUR
T1 - Strings and pions
AU - Andrianov, A. A.
AU - Espriu, D.
PY - 2003/6/1
Y1 - 2003/6/1
N2 - We assume that QCD can be effectively described with stringlike variables and that this string is approximately represented by a Nambu-Goto or Polyakov string in some energy region. But to overcome the long-standing problems with the behavior of hadronic string amplitudes at low energies, the string is built over the correct (chirally noninvariant) QCD vacuum using a boundary interaction with background chiral fields associated with pions. Making this interaction compatible with the conformal symmetry of the string and with the unitarity constraint on chiral Gelds, we reconstruct the equations of motion for the latter and, furthermore, recover the Lagrangian of a nonlinear sigma model of pion interactions. We obtain the chiral structural constants of Gasser and Leutwyler in the next-to-leading order in the derivative expansion. The estimated coefficients fit the phenomenological values well.
AB - We assume that QCD can be effectively described with stringlike variables and that this string is approximately represented by a Nambu-Goto or Polyakov string in some energy region. But to overcome the long-standing problems with the behavior of hadronic string amplitudes at low energies, the string is built over the correct (chirally noninvariant) QCD vacuum using a boundary interaction with background chiral fields associated with pions. Making this interaction compatible with the conformal symmetry of the string and with the unitarity constraint on chiral Gelds, we reconstruct the equations of motion for the latter and, furthermore, recover the Lagrangian of a nonlinear sigma model of pion interactions. We obtain the chiral structural constants of Gasser and Leutwyler in the next-to-leading order in the derivative expansion. The estimated coefficients fit the phenomenological values well.
KW - Chiral symmetries
KW - Conformal symmetries
KW - Hadron strings
KW - Pion interactions
KW - Quantum chromodynamics
UR - http://www.scopus.com/inward/record.url?scp=0038541946&partnerID=8YFLogxK
U2 - 10.1023/A:1024045917981
DO - 10.1023/A:1024045917981
M3 - Article
AN - SCOPUS:0038541946
VL - 135
SP - 745
EP - 756
JO - Theoretical and Mathematical Physics (Russian Federation)
JF - Theoretical and Mathematical Physics (Russian Federation)
SN - 0040-5779
IS - 3
ER -
ID: 36894485