Sine Spiritus

Noncommutative Sine-gordon Model Extremizing the Sine-gordon Action

As I briefly review, the sine-Gordon model may be obtained by dimensional and algebraic reduction from 2+2 dimensional self-dual U(2) Yang-Mills through a 2+1 dimensional integrable U(2) sigma model. I argue that the noncommutative (Moyal) deformation of this procedure should relax the algebraic reduction from U(2) → U(1) to U(2) → U(1)×U(1). The result are novel noncommutative sine-Gordon equa...

Sine Wave Generation Techniques

Producing and manipulating the sine wave function is a common problem encountered by circuit designers. Sine wave circuits pose a significant design challenge because they represent a constantly controlled linear oscillator. Sine wave circuitry is required in a number of diverse areas, including audio testing, calibration equipment, transducer drives, power conditioning and automatic test equip...

Sine-gordon Revisited

We study the sine-Gordon model in two dimensional space time in two different domains. For β > 8π and weak coupling, we introduce an ultraviolet cutoff and study the infrared behavior. A renormalization group analysis shows that the the model is asymptotically free in the infrared. For β < 8π and weak coupling, we introduce an infrared cutoff and study the ultraviolet behavior. A renormalizatio...

Systemic Sclerosis Sine Scleroderma.

Systemic sclerosis sine scleroderma is a rare form of limited systemic sclerosis. These patients are without skin involvement, but do not differ in its clinical or laboratory features and prognosis from classical systemic sclerosis. In the absence of cutaneous signs/symptoms, its diagnosis is delayed leading to significant morbidity and mortality. We report a case of sixty year old female who p...

Amœbiasis Sine Dysentery