Pushing the boundaries

Dilger, Samantha K. N.

doi:10.17077/etd.qyewy9ex

Cited by 4 publications

(8 citation statements)

References 39 publications

(61 reference statements)

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“…From the definition of κ in (28) we see that the m − → 0 and L → ∞ limits do not commute with each other.…”

mentioning

confidence: 98%

“…Besides reproducing results in Minkowski spacetime in the infinite volume limit, analyzing the model on a circle has the advantage of being free from infrared divergence and well-defined at every stage of manipulation. Furthermore analytic solutions of the multi-flavor model are extremely useful for comparison with lattice simulations where several flavors are inherent [28] [31][37]- [39].…”

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confidence: 99%

“…Since πr 2 /L in H 0 acts on Φ(θ; ϕ) as −(π/L)(∂ 2 /∂ϕ 2 ), the eigenvalue equation (H 0 + (28) where ǫ = EL/π. This is nothing but the Schrödinger equation in a potential −κ cos ϕ (the quantum pendulum) whose ground state satisfies f (ϕ) = f (ϕ) * = f (−ϕ).…”

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confidence: 99%

“…F 1 is a function of κ, and κ depends on µ 2 . Employing (18), (28), and (33), and classifying cases according to whether κ, µL, µ 2 L are large or small one finds…”

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confidence: 99%

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The massive multi-flavor Schwinger model

1995

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QED with N species of massive fermions on a circle of circumference L is analyzed by bosonization. The problem is reduced to the quantum mechanics of the 2N fermionic and one gauge field zero modes on the circle, with nontrivial interactions induced by the chiral anomaly and fermions masses. The solution is given for N = 2 and fermion masses (m) much smaller than the mass of the U (1) boson with mass µ = 2e 2 /π when all fermions satisfy the same boundary conditions. We show that the two limits m → 0 and L → ∞ fail to commute and that the behavior of the theory critically depends on the value of mL| cos 1 2 θ| where θ is the vacuum angle parameter. When the volume is large µL ≫ 1, the fermion condensate ψ − ψ is −(e 4γ mµ 2 cos 4 1 2 θ/4π 3 ) 1/3 or −2e γ mµL cos 2 1 2 θ/π 2 for mL(µL) 1/2 | cos 1 2 θ| ≫ 1 or ≪ 1, respectively. Its correlation function decays algebraically with a critical exponent η = 1 when m cos 1 2 θ = 0.

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“…From the definition of κ in (28) we see that the m − → 0 and L → ∞ limits do not commute with each other.…”

mentioning

confidence: 98%

mentioning

confidence: 99%

mentioning

confidence: 99%

“…F 1 is a function of κ, and κ depends on µ 2 . Employing (18), (28), and (33), and classifying cases according to whether κ, µL, µ 2 L are large or small one finds…”

mentioning

confidence: 99%

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The massive multi-flavor Schwinger model

1995

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“…In Lybius torquatus, L. vieilloti, L. guifsobalito, L. (Tricholaema) lacrymosus and Trachyphonus darnaudii duetting at periodic intervals has been reported, and duetting is suspected in other species known to give long series of double notes (Lybius leucocephalus, L. melanopterus, and L. minor); these songs are described by Mackworth-Praed & Grant (1957, 1962, Chapin (1939), Moreau & Moreau (1937), and Albrecht & Wickler (1968). Duetting by male and female of a pair has also been noted for the tropical American barbets Dicrorhynchus frantzii and Semnornis ramphastinus (Skutch 1944, Eaton, in Dilger 1953, and two Indian barbets Megalaima virens and M. haemacephala (Osmaston 1941, Dilger 1953. The descriptions of songs of two of the African barbets suggest that calling rhythms of the two duetting birds are different from each other.…”

Section: Introductionmentioning

confidence: 80%

Temporal Patterns of Duetting in African Barbets

Payne

Skinner

1970

Ibis

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Summary Four species of African barbets (Lybius torquatus, L. vieilloti, Trachyphonus darnaudii, and T. erythrocephalus) regularly sing in duet. Duets consist of phrases repeated at very regular intervals; in L. torquatus and L. vieilloti the standard deviation is less than a tenth of the mean interval between duet motifs. Sound spectrographic analysis of the songs indicates that an internal rhythmic behaviour pattern determines in large part the temporal features of the duet in these barbets:(1) one member of a pair of L. torquatus continues to call in rhythm even though its mate may call irregularly, (2) in the other three species the calling rhythm of each of the two mates is different, especially in L. vieilloti where the ratio of the periodicity of calling of the two birds averages 1:1.52 and where one bird continues to call at the same rate when its mate ceases to call, and (3) several non‐duetting African barbets have regular calling periodicities, some with greater precision than in the duetting barbets and some with less. In the barbets the temporal pattern of duets appears to be in greater degree determined by individual calling rhythms (as in some non‐duetting barbets) than by the auditory reaction time involved in a bird responding to its mate. Duetting in barbets probably functions both in maintenance of a pair bond and in territorial advertisement.

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Gesetzliche Mitbestimmung in Deutschland: Idee, Erfahrungen und Perspektiven aus ökonomischer Sicht

Sadowski¹,

Junkes²,

Lindenthal³

2000

Zeitschrift Für Unternehmens- Und Gesellschaftsrecht

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Pushing the boundaries

Cited by 4 publications

References 39 publications

The massive multi-flavor Schwinger model

The massive multi-flavor Schwinger model

Temporal Patterns of Duetting in African Barbets

Gesetzliche Mitbestimmung in Deutschland: Idee, Erfahrungen und Perspektiven aus ökonomischer Sicht

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