Medium-energy<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>N</mml:mi><mml:mi>π</mml:mi><mml:mi>π</mml:mi></mml:math>dynamics. I

Aitchison, I. J. R.; Brehm, J.J.

doi:10.1103/physrevd.20.1119

Cited by 38 publications

(17 citation statements)

References 32 publications

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“…In this latter case we should point out that the non-trivial ultraviolet fixed point, found in the numerical studies of[32], might be related -under some sort of ultraviolet-infrared duality -to the non-trivial infrared fixed point of the three-dimensional QED, argued in[16] 7. We note that, in a large-flavour-number, N , treatment, these four-fermi operators become renormalizable, thereby leading to non-trivial ultraviolet fixed-point structures[31,28,29].…”

mentioning

confidence: 86%

“…In particular, duality symmetries in the infrared region of the supersymmetric model, connecting various theories with the same non-trivial infrared fixed-point [15], may prove very useful in a renormalization-group study of the dynamics of the gauge fields in both, the superconducting and the normal phases of the model, in the spirit of ref. [16]. The important issue is that the introduction of N = 1 supesymmetry, hidden in the spin-charge separation ansatz (1), does not require the introduction of unphysical degrees of freedom.…”

Section: Introductionmentioning

confidence: 99%

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N=1 Supersymmetric Spin-Charge Separation in Effective Gauge Theories of Planar Magnetic Superconductors

1998

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We present a N = 1 Supersymmetric extension of a spin-charge separated effective SU (2) × U S (1) 'particle-hole' gauge theory of excitations about the nodes of the gap of a d-wave planar magnetic superconductor. The supersymmetry is achieved without introducing extra degrees of freedom, as compared to the non-supersymmetric models. The only exception, the introduction of gaugino fieds, finds a natural physical interpretation as describing interlayer coupling in the statistical model. The low-energy continuum theory is described by a relativistic (2+1)-dimensional supersymmetric CP 1 σ-model with Gross-Neveu-Thirring-type four-fermion interactions. We emphasize the crucial rôle of the CP 1 constraint in inducing a non-trivial dynamical mass generation for fermions (and thus superconductivity), in a way compatible with manifest N = 1 supersymmetry. We also give a preliminary discussion of non-perturbative effects. We argue that supersymmetry suppresses the dangerous for superconductivity instanton contributions to the mass of the perturbatively massless gauge boson of the unbroken U (1) subgroup of SU (2). Finally, we point out the possibility of applying these ideas to effective gauge models of spin-charge separation in one-space dimensional superconducting chains of holons, which, for example, have recently been claimed to be important in the stripe phase of underdoped cuprates.

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confidence: 86%

Section: Introductionmentioning

confidence: 99%

N=1 Supersymmetric Spin-Charge Separation in Effective Gauge Theories of Planar Magnetic Superconductors

1998

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“…[25][26][27][28][29], a method has been developed which is convenient for analyzing relativistic three-hadron systems. The physics of three-hadron systems can be described by means of a pair interaction between the particles.…”

Section: Introductionmentioning

confidence: 99%

Relativistic five-quark equations and the nature ofθpentaquarks

Gerasyuta

Kochkin

2005

Phys. Rev. D

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The relativistic five-quark equations are found in the framework of the dispersion relation technique. The solutions of these equations using the method based on the extraction of the leading singularities of the amplitudes are obtained. The five-quark amplitudes for the low-lying pentaquarks including the u, d, s quarks are calculated. The poles of these amplitudes determine the masses of pentaquarks. The mass spectra of the isotensor pentaquarks with J P 1 2 ; 3 2 are calculated.

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“…Truncating the expansion at some power of k/m not only yields a local effective action but also allows one to analyse the rôle of some specific term as it is the case of the leading oddparity term in QED 3 [21]. It is also important to study the phenomenological aspects of a low-energy effective action [22]. The order at which the series is truncated depends on the range of energy one is interested in.…”

Section: Introductionmentioning

confidence: 99%

Quadratic effective action for QED inD=2,3dimensions

2000

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We calculate the effective action for quantum electrodynamics ͑QED͒ in Dϭ2,3 dimensions at the quadratic approximation in the gauge fields. We analyze the analytic structure of the corresponding nonlocal boson propagators nonperturbatively in k/m. In two dimensions for any nonzero fermion mass, we end up with one massless pole for the gauge boson. We also calculate in Dϭ2 the effective potential between two static charges separated by a distance L and find it to be a linearly increasing function of L in agreement with the bosonized theory ͑massive sine-Gordon model͒. In three dimensions we find nonperturbatively in k/m one massive pole in the effective bosonic action leading to screening. Fitting the numerical results we derive a simple expression for the functional dependence of the boson mass upon the dimensionless parameter e 2 /m.

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Medium-energyNππdynamics. I

Cited by 38 publications

References 32 publications

N=1 Supersymmetric Spin-Charge Separation in Effective Gauge Theories of Planar Magnetic Superconductors

N=1 Supersymmetric Spin-Charge Separation in Effective Gauge Theories of Planar Magnetic Superconductors

Relativistic five-quark equations and the nature ofθpentaquarks

Quadratic effective action for QED inD=2,3dimensions

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