Chiral symmetry breaking in the light-cone representation

McCartor, Gary

doi:10.1016/s0920-5632(00)00868-9

Cited by 6 publications

(4 citation statements)

References 5 publications

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“…The case of the Schwinger model quantized on the light-cone with antiperiodic boundary conditions in x − has also received a thorough discussion in the literature [3,5]. The vacuum is exactly known also for Adjoint QCD 1+1 , where again it is determined by residual gauge invariance [6].…”

Section: B I Onlymentioning

confidence: 99%

“…The general mechanism by which a trivial light-cone vacuum can become dressed with fermions is now well understood [3,4,5,6], although detailed representations have been given only in a few simple models. In the cases that are completely understood, all of the physics of the full theory, including the dressed vacuum, can be represented by induced interactions that act in the usual light-cone representation space based on a trivial vacuum.…”

Section: Introductionmentioning

confidence: 99%

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Spontaneously broken quark helicity symmetry

Dalley

McCartor²

2006

Annals of Physics

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We discuss the origin of chiral symmetry breaking in the light-cone representation of QCD.In particular, we show how quark helicity symmetry is spontaneously broken in SU (N ) gauge theory with massless quarks if that theory has a condensate of fermion lightcone zero modes. The symmetry breaking appears as induced interactions in an effective lightcone Hamiltonian equation based on a trivial vacuum. The induced interaction is crucial for generating a splitting between pseudoscalar and vector meson masses, which we illustrate with spectrum calculations in some 1+1-dimensional reduced models of gauge theory.

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Section: B I Onlymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Spontaneously broken quark helicity symmetry

Dalley

McCartor²

2006

Annals of Physics

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“…We now turn our attention to QCD using the Schwinger model as a guide [1,5]. We quantize the fermi fields on x + = 0 in the standard way:…”

Section: Qcdmentioning

confidence: 99%

Induced Operators in QCD

McCartor

2005

Few-Body Systems

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Abstract. Light-cone quantization always involves the solution of differential constraint equations. The solutions to these equations include integration constants (fields independent of x − ). These fields are unphysical but when they are consistently removed from the dynamics, additional operators (induced operators), which would not be present if the integration constants were simply set to zero, are included in the dynamics. These induced operators can be taken to act in the usual light-cone subspace, for instance, the space used for DLCQ. Here, I shall give a derivation of two such operators. The operators are derived starting from the QCD Lagrangian but the derivation involves some guesses. The operators will provide for the linear growth of the pion mass squared with the quark bare mass and for the splitting of the pi and the rho at zero quark mass.

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“…This is especially true when using local boundary conditions (e.g. "bag" BC's [17,19]) or in a quantization on the light cone [22].…”

Section: Non-perturbative Qft As Thermodynamical Limitmentioning

confidence: 99%

Dynamical symmetry breaking in SYM theories as a non-semiclassical effect

Bergamin

2002

Eur. Phys. J. C

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We study supersymmetry breaking effects in N = 1 SYM from the point of view of quantum effective actions. Restrictions on the geometry of the effective potential from superspace are known to be problematic in quantum effective actions, where explicit supersymmetry breaking can and must be studied. On the other hand the true ground state can be determined from this effective action, only. We study whether some parts of superspace geometry are still relevant for the effective potential and discuss whether the ground states found this way justify a low energy approximation based on this geometry. The answer to both questions is negative: Essentially nonsemiclassical effects change the behavior of the auxiliary fields completely and demand for a new interpretation of superspace geometry. These non-semiclassical effects can break supersymmetry.

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Chiral symmetry breaking in the light-cone representation

Cited by 6 publications

References 5 publications

Spontaneously broken quark helicity symmetry

Spontaneously broken quark helicity symmetry

Induced Operators in QCD

Dynamical symmetry breaking in SYM theories as a non-semiclassical effect

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