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Constraints on light elementary particles and extra dimensional physics from the Casimir effect

Constraints on light elementary particles and extra dimensional physics from the Casimir effect. G. L. Klimchitskaya. North-West Technical University, St.Petersburg, Russia. 15 th Lomonosov Conference, Moscow, 2011. CONTENT. Introduction

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Constraints on light elementary particles and extra dimensional physics from the Casimir effect

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  1. Constraints on light elementary particles and extra dimensional physics from the Casimir effect G. L. Klimchitskaya North-West Technical University, St.Petersburg, Russia 15th Lomonosov Conference, Moscow, 2011

  2. CONTENT • Introduction • 2. Constraints from the normal Casimir force • between test bodies with smooth surfaces • 3. Constraints from the normal Casimir force • between test bodies with corrugated surfaces • 4. Constraints from the lateral Casimir force • 5. Conclusions 15th Lomonosov Conference, Moscow, 2011

  3. 1. INTRODUCTION Yukawa-type corrections to Newton’s law: Power-type corrections to Newton’s law: 15th Lomonosov Conference, Moscow, 2011

  4. Yukawa- and power-type potentials originate from: 1) Exchange of light and massless elementary particles, such as: --- arion; --- scalar axion; --- graviphoton; --- dilaton; --- goldstino; --- moduli. These particles may contribute to the dark matter and dark energy. 15th Lomonosov Conference, Moscow, 2011

  5. 2) Extra-dimensional theories with low-energy compactification scale cm Arkani-Hamed, Dimopoulos, Dvali, PRD, 1999 15th Lomonosov Conference, Moscow, 2011

  6. The Yukawa-type force between two macrobodies 15th Lomonosov Conference, Moscow, 2011

  7. 2. CONSTRAINTS FROM THE NORMAL CASIMIR FORCE BETWEEN TEST BODIES WITH SMOOTH SURFACES Measured quantities are the Casimir force or its gradient: Obtaining constraints on Yukawa forces: 15th Lomonosov Conference, Moscow, 2011

  8. Measurements of the Casimir force using an atomic force microscope Force sensitivity 10-17 N possible We achieve 10-13N Mohideen et al, 1998-2000 15th Lomonosov Conference, Moscow, 2011

  9. Shematic setup Schematic setup with a micromachined oscillator for measurements of the Casimir force gradient Decca et al, 2003-2007 15th Lomonosov Conference, Moscow, 2011

  10. The strongest constraints on Yukawa-type corrections to Newton's gravitational law obtained from the measurement of the Casimir force using an atomic force microscope (line 1), from the measurement of the Casimir pressure by means of a micromachined oscillator (line 2), and from the Casimir-less experiment (line 3). Line 6 indicates constraints obtained from the torsion pendulum experiment 15th Lomonosov Conference, Moscow, 2011

  11. 3. CONSTRAINTS FROM THE NORMAL CASIMIR FORCE BETWEEN TEST BODIES WITH CORRUGATED SURFACES Bao, Guerout, Lussange, Lambrecht, Cirelli, Klemens, Mansfield, Pai, Chan, PRL (2010) 15th Lomonosov Conference, Moscow, 2011

  12. Constraints on the parameters of Yukawa-type interaction which are obtained from the experiments performed by means of a micromechanical torsional oscillator with a corrugated Si plate (line 1) and with a flat Au-coated plate (line 2), from the Casimir-less experiment (line 3), from the experiments using a torsion pendulum (lines 4 and 5) and from measuring the thermal Casimir-Polder force (line 6). Bezerra, Klimchitskaya, Mostepanenko, Romero, PRD, 2011 15th Lomonosov Conference, Moscow, 2011

  13. 4. CONSTRAINTS FROM THE LATERAL CASIMIR FORCE Golestanian, Kardar, PRL 1997; Chen, Mohideen, Klimchitskaya, Mostepanenko, PRL 2002, PRA 2002; Chiu, Klimchitskaya, Marachevsky, Mostepanenko, Mohideen, PRB 2009, PRB 2010. 15th Lomonosov Conference, Moscow, 2011

  14. Experimental scheme x-piezo introduces phase change z-piezo changes separation distance 15th Lomonosov Conference, Moscow, 2011

  15. Constraints on the parameters of Yukawa-type interaction from measurements of the lateral Casimir force between corrugated surfaces (the solid line), and from measurements of the normal Casimir force by means of an atomic force microscope (the long-dashed line), and a micromachined oscillator (the short-dashed line). Bezerra, Klimchitskaya, Mostepanenko, Romero, PRD 2010 15th Lomonosov Conference, Moscow, 2011

  16. Experiments on the Casimir force lead to stronger • constraints at shorter interaction range where • gravitational experiments do not work. • 2. Recent measurements of the normal Casimir force • between a sphere and rectangular corrugated plate • confirmed constraints obtained from several • different experiments. • 3. Precise measurements of the lateral Casimir force • strengthen previously known constraints up to two • and a half million times. • 4. In near future further strengthening of constraints is • expected from measuring the normal Casimir force • between a smooth sphere and a corrugated plate. 5. CONCLUSIONS 15th Lomonosov Conference, Moscow, 2011

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