Application of the Faddeev-Jackiw formalism to the gauged WZW model

The two-flavor Wess-Zumino model coupled to electromagnetism is treated as a constraint system using the Faddeev-Jackiw method. Expanding into series of powers of the pion fields and keeping terms up to second and third order we obtain Coulomb- gauge Lagrangeans containing non-local terms.Comment: 10 pages, LaTe

Factors affecting knee abduction during weight-bearing activities in individuals with anterior cruciate ligament reconstruction

Objective To investigate if muscle strength and muscle activation patterns are associated with increased knee abduction during two functional tasks, commonly used in rehabilitation for individuals with anterior cruciate ligament reconstruction (ACLR). Design Cross-sectional study. Setting Laboratory. Participants 24 women and 29 men approximately 7 months after ACLR. Main outcome measures Isometric peak torque of the trunk and lower extremity muscles were determined during maximal voluntary contractions. Trunk and lower extremity average muscle activation amplitude and peak knee abduction were evaluated during the single-leg squat (SLS) and the single-leg hop for distance (SLHD) for the injured side. Separate backward regressions were performed for men and women. Results In women, lower knee flexion and extension strength were associated with greater peak knee abduction during the SLS (B = 4.63–18.26, p ≤ 0.036); lower knee flexion strength and iliocostalis activation on the non-injured side were associated with greater peak knee abduction during the SLHD (B = 0.60–20.48, p ≤ 0.043). No associations between muscle function and peak knee abduction were found in men. Conclusions Muscle function may contribute differently to knee abduction in men and women after ACLR. This should be considered when designing rehabilitation programs to reduce knee abduction in these patients

Masses of the tensor mesons with JP=2−J^{P}=2^{-}

We calculate the two-point correlation function using the interpolating current with $J^{PC}=2^{-}$. After performing the Borel sum rule analysis, the extracted masses of the $2^{--}$ tensor charmonium and bottomonium are $3.97\pm0.25$ GeV and $10.13\pm0.34$ GeV respectively. For comparison, we also perform the moment sum rule analysis for the charmonium and bottomonium systems. We extend the same analysis to study the $\bar qq, \bar qs, \bar ss, \bar qc, \bar sc, \bar qb, \bar sb$ and $\bar cb$ systems. Their masses are $1.78\pm 0.12, 1.85\pm 0.14, 2.00\pm 0.16, 2.86\pm 0.14, 3.01\pm 0.21, 5.66\pm0.33, 6.40\pm 0.25$, and $7.08\pm 0.34$ GeV respectively.Comment: 12 pages, 16 figures and 1 table. Accepted by Nuclear Physics