Chiral physics in the magnetic field with quark confinement contribution
Abstract The standard chiral perturbation theory is known to predict much weaker effects in magnetic field, than found in numerical lattice data. To overcome this disagreement we are using the effective chiral confinement Lagrangian, $$L_{ECCL}$$ LECCL , containing both chiral and quark degrees of f...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2018-11-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | http://link.springer.com/article/10.1140/epjc/s10052-018-6384-x |
| Summary: | Abstract The standard chiral perturbation theory is known to predict much weaker effects in magnetic field, than found in numerical lattice data. To overcome this disagreement we are using the effective chiral confinement Lagrangian, $$L_{ECCL}$$ LECCL , containing both chiral and quark degrees of freedom, in the presence of external magnetic field. Without magnetic fields $$L_{ECCL}$$ LECCL reduces to the ordinary chiral Lagrangian $$L_{EC L}$$ LECL , yielding in the lowest order $$O(\partial _\mu \varphi )^2$$ O(∂μφ)2 all known relations, and providing explicit numerical coefficients in the higher $$O(p^4, p^6)$$ O(p4,p6) orders. The inclusion of the magnetic field in $$L_{ECCL}$$ LECCL strongly modifies ECL results for chiral condensates, coupling constants $$f_\pi , f_K$$ fπ,fK and masses of chiral mesons. The resulting behavior contains the only parameter – the string tension $$\sigma $$ σ , is roughly proportional to $$O\left( \frac{eB}{\sigma }\right) $$ OeBσ and agrees very well with lattice data. These results show that the magnetic field acts not only on the chiral degrees of freedom $$(\varphi _\pi )$$ (φπ) , but also on quarks in the quark-chiral Lagrangian, which produce much stronger effect. |
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| ISSN: | 1434-6044 1434-6052 |