Closed SU(2)q invariant spin chain and its operator content

We derive the operator content of the closed SU(2)q invariant quantum chain for generic values of the deformation parameter q

UV and IR analyses of the mass spectrum in the sine-Gordon model

We study the mass spectrum of the sine-Gordon model on a cylinder in the UV and IR regime. This is done by numerical diagonalization of the XXZ spin chain in a transverse field which is a convenient regularization. Our results strongly confirm the conjecture of Klassen and Melzer that sine-Gordon and massive Thirring models are not equivalent when defined on a finite cylinder. We obtain that the first two breathers have equal scaling dimensions, contrary to the conjecture claimed in literature

UV i IR analize masenog spektra u sinus-Gordonovom modelu

We study the mass spectrum of the sine-Gordon model on a cylinder in the UV and IR regime. This is done by numerical diagonalization of the XXZ spin chain in a transverse field which is a convenient regularization. Our results strongly confirm the conjecture of Klassen and Melzer that sine-Gordon and massive Thirring models are not equivalent when defined on a finite cylinder. We obtain that the first two breathers have equal scaling dimensions, contrary to the conjecture claimed in literature.Proučavamo maseni spektar u sinus-Gordonovom modelu u UV i IR uvjetima. To se čini numeričkom dijagonalizacijom spinskog lanca XXZ u poprečnom polju koje je pogodna regularizacija. Naši rezultati snažno potvrđuju pretpostavku Klassena i Melzera da sinus-Gordonov model i Thirringov model nisu ekvivalentni ako su definirani na konačnom valjku. Dobivamo da prva dva disalna stanja imaju jednake skalne dimenzije, suprotno pretpostavki koja se navodi u literaturi

UV i IR analize masenog spektra u sinus-Gordonovom modelu

We study the mass spectrum of the sine-Gordon model on a cylinder in the UV and IR regime. This is done by numerical diagonalization of the XXZ spin chain in a transverse field which is a convenient regularization. Our results strongly confirm the conjecture of Klassen and Melzer that sine-Gordon and massive Thirring models are not equivalent when defined on a finite cylinder. We obtain that the first two breathers have equal scaling dimensions, contrary to the conjecture claimed in literature.Proučavamo maseni spektar u sinus-Gordonovom modelu u UV i IR uvjetima. To se čini numeričkom dijagonalizacijom spinskog lanca XXZ u poprečnom polju koje je pogodna regularizacija. Naši rezultati snažno potvrđuju pretpostavku Klassena i Melzera da sinus-Gordonov model i Thirringov model nisu ekvivalentni ako su definirani na konačnom valjku. Dobivamo da prva dva disalna stanja imaju jednake skalne dimenzije, suprotno pretpostavki koja se navodi u literaturi

Violation of the string hypothesis and the Heisenberg XXZ spin chain

In this paper we count the numbers of real and complex solutions to Bethe constraints in the two-particle sector of the XXZ model. We find the exact number of exceptions to the string conjecture and total number of solutions that is required for completeness

Betheove strune u dvočestičnom sektoru zatvorenog SU(2)q invarijantnog spinskog lanca

In this paper we investigate complex solutions of the Bethe equations in the two-particle sector, both for arbitrary finite number of sites and for the thermodynamic limit. We find the number of complex solutions (strings) and compare it with the string conjecture prediction. Some simple properties of these solutions like position in the spectrum, crossing of levels, connection to the ground state and transformation to the real solutions are discussed. Counting both real and complex solutions, we find expected number of highest-weight Bethe states.Istražujemo kompleksna rješenja Betheovih jednadžbi u dvočestičnom sektoru za proizvoljan konačan broj kompleksnih rješenja i za termodinamičku granicu. Nalazimo broj kompleksnih rješenja (struna) i uspoređujemo ga s uobičajenim pretpostavkama za strune. Raspravljamo neka jednostavna svojstva tih rješenja, kao položaj u spektru, presjecanje stanja, spoj s osnovnim stanjem i preobrazbu k realnim rješenjima. Brojeći realna i kompleksna rješenja, našli smo očekivan broj Betheovih stanja najveće težine

UV and IR analyses of the mass spectrum in the sine-Gordon model

We study the mass spectrum of the sine-Gordon model on a cylinder in the UV and IR regime. This is done by numerical diagonalization of the XXZ spin chain in a transverse field which is a convenient regularization. Our results strongly confirm the conjecture of Klassen and Melzer that sine-Gordon and massive Thirring models are not equivalent when defined on a finite cylinder. We obtain that the first two breathers have equal scaling dimensions, contrary to the conjecture claimed in literature